SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549



                                    FORM 8-K

                                 CURRENT REPORT

                     PURSUANT TO SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                DATE OF REPORT (date of earliest event reported)

                                 April 28, 2004

                               Halliburton Company
             (Exact name of registrant as specified in its charter)

State or other                    Commission               IRS Employer
jurisdiction                      File Number              Identification
of incorporation                                           Number

Delaware                            1-3492                 No. 75-2677995


                            1401 McKinney, Suite 2400
                              Houston, Texas 77010
                    (Address of principal executive offices)

                         Registrant's telephone number,
                       including area code - 713-759-2600



INFORMATION TO BE INCLUDED IN REPORT

Item 12. Disclosure of Results of Operations and Financial Condition

On April  28,  2004  registrant  issued a press  release  entitled  "Halliburton
Announces First Quarter Results."

The text of the press release is as follows:


                   HALLIBURTON ANNOUNCES FIRST QUARTER RESULTS
           $0.17 per diluted share income from continuing operations,
              including $0.14 charge on Barracuda-Caratinga project


HOUSTON - Halliburton  (NYSE:HAL) announced today that first quarter 2004 income
from  continuing  operations  was $76  million,  or  $0.17  per  diluted  share.
Impacting  continuing  operations for the quarter on an after-tax  basis was the
previously  announced $62 million  charge,  or $0.14 per diluted  share,  on the
Barracuda-Caratinga project.

Net loss for the  quarter  was $65  million,  or $0.15 per  diluted  share,  and
included a net loss from  discontinued  operations for the proposed asbestos and
silica settlement of $141 million, or $0.32 per diluted share. The net loss from
discontinued  operations resulted primarily from the first quarter  revaluation,
due to the increase in Halliburton's  stock price, of the 59.5 million shares of
Halliburton common stock to be contributed to trusts for the benefit of asbestos
and silica claimants.

Revenues  were $5.5  billion in the first  quarter  2004,  up 80% from the first
quarter 2003. This increase was largely  attributable to additional  activity on
government  services  projects  in  the  Middle  East  in  the  Engineering  and
Construction  Group  (known as KBR).  Within the Energy  Services  Group  (ESG),
revenues  increased  13% in the first  quarter  2004  compared to the prior year
period.

Consolidated  operating  income  was $175  million  in the  first  quarter  2004
compared to $142 million in the first quarter 2003. Operating income for ESG was
up 19% in the first quarter. KBR operating results improved slightly as a result
of increased  government  services work,  offset by a $97 million pretax loss on
the Barracuda-Caratinga  project. First quarter 2003 operating income included a
$55 million pretax loss on the Barracuda-Caratinga project, a $36 million pretax
gain related to the sale of Mono Pumps, and a $15 million pretax loss related to
the sale of Wellstream.


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"Overall, I am pleased with our operating  performance during the quarter," said
Dave Lesar, chairman,  president and chief executive officer of Halliburton. "We
continue to see  improvement  in the energy  services  business.  While oilfield
activity and pricing was  essentially  flat until late in the first quarter,  we
are beginning to see signs that  customer  spending and pricing for our services
are improving.  We believe the agreement in principle on the Barracuda-Caratinga
project,  if completed,  would resolve disputed items and  significantly  reduce
remaining risks for us with the project."

2004 First Quarter Segment Results

Energy Services Group

ESG posted first quarter 2004 revenues of $1.8 billion,  a $205 million increase
over the first  quarter  2003,  and  operating  income of $214  million,  up $34
million from the same period in the prior year.

Drilling and Formation  Evaluation (DFE) operating income of $43 million was $23
million less than the prior year quarter  primarily  due to the $36 million gain
on the sale of Mono Pumps in the first quarter 2003. Before considering the Mono
Pumps gain, DFE operating income improved 43%  year-over-year.  Logging services
operating  income increased $14 million  year-over-year  on higher United States
land rig counts, the implementation of exit strategies for logging operations in
several  underperforming  countries,  and a direct  sale  into  China.  Drilling
services  saw revenue  growth  across all  geographic  regions.  For drill bits,
operating  margins  improved as a result of benefits from the  consolidation  of
manufacturing facilities to The Woodlands, Texas.

Fluids operating income for the first quarter 2004 was $60 million, a $5 million
increase  from the first  quarter  2003.  The increase in  operating  income was
attributable to a $15 million increase in cementing  services due to higher land
rig activity in North America and improved pricing. This was partially offset by
a $12 million  reduction in drilling fluids  operating  results due primarily to
the activity  shift from favorable  offshore  operations to lower margin onshore
areas.

Production  Optimization  operating  income for the first  quarter  2004 was $82
million,  a 21% increase  over first  quarter  2003.  The increase was primarily
driven by production  enhancement services,  which improved operating income $22
million,  largely derived from increased land rig activity and high  utilization
in the United  States,  revenue  increases  in all  international  regions,  and
improved  pricing.  The first quarter 2004 included $17 million in equity losses
from the Subsea 7 joint  venture  compared  with $14 million in equity losses in
the first quarter 2003.


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Landmark and Other Energy  Services first quarter 2004 operating  income was $29
million,  compared  to a loss of $9  million  for the prior  year  period.  This
increase in operating  income is attributed to a $15 million loss on the sale of
Wellstream in the first quarter 2003, a $13 million  reduction in legal reserves
in the  first  quarter  2004  related  to  the  settlement  of  the  Anglo-Dutch
litigation,   and  strong  commodity  prices  benefiting   integrated  solutions
services.  Landmark  Graphics achieved 5% growth in revenues over the prior year
period,  setting a new record for revenues in the first quarter of any year, due
primarily to increased software sales.

KBR

KBR revenues for the first quarter 2004 were $3.7 billion,  more than double its
revenues in the first quarter 2003. The improvement was mostly due to government
contract activities.

KBR operating loss for the first quarter 2004 was $15 million, compared to a $19
million  loss in the first  quarter  2003.  First  quarter 2004  operating  loss
included  the $97 million  loss on the  Barracuda-Caratinga  project,  which was
partially offset by increased results on government services projects,  refining
and gas projects in Canada and Africa,  and upstream  operations and maintenance
projects.  First  quarter  2003  results  included  a $55  million  loss  on the
Barracuda-Caratinga project.

Halliburton's  Iraq-related  work  contributed  approximately  $2.1  billion  in
revenues in the first quarter 2004 and $32 million in operating income.

Backlog

KBR backlog at March 31, 2004 was $8.4 billion,  down $1.3 billion from December
31, 2003  primarily  due to workoff and  transition of the fuel delivery work in
Iraq to the Defense Energy Support Center.  Approximately  26% of the backlog is
for fixed-fee  contracts,  essentially  unchanged from December 31, 2003. Of the
fixed-fee contract backlog, only 13% of the total related to offshore contracts,
while 39% related to onshore contracts.

Technology and Significant Achievements

Halliburton had a number of advances in technology and new contract awards.

Energy Services Group new technologies and contracts:

    -    Halliburton   announced  the  release  of  DecisionSpace  Well  Seismic
         Fusion(TM), a suite of interpretation and analysis tools for predicting
         reservoir rock properties from prestack  seismic data,  synthetic data,
         and  well  data.  Working  closely  with  Statoil,   Landmark  Graphics
         developed Well Seismic Fusion to leverage the rich information  content
         contained  in  prestack  seismic  data to build  earth  models and more
         accurately  predict  reservoir   lithology  and  fluids.   This  unique
         technology  provides  a highly  integrated  interpretation  environment
         enabling interpreters and other asset team members to improve reservoir
         understanding and dramatically reduce exploration risk.

                                     -more-



    -    Halliburton  announced  that  it  has  signed  a  five-year  technology
         agreement with Integrated  Trade Systems,  Inc., an agreement that will
         benefit  PEMEX,  Mexico's  national oil and gas company.  The agreement
         includes a broad range of Landmark  Graphics'  prospect  generation and
         field  development  software  that will  support  the  exploration  and
         development  activities of PEMEX.  A key component of this agreement is
         the provision of broad Landmark service  support,  to ensure that PEMEX
         exploration  and  production  specialists  are able to extract  maximum
         value from this technology investment.

    -    Halliburton  announced  the release of Z3(TM)  polycrystalline  diamond
         compact  (PDC)  cutter  technology  for Fixed  Cutter  drill  bits.  Z3
         technology,   a  proprietary   development  made  in  conjunction  with
         long-time  diamond  technology  provider  US  Synthetic,  represents  a
         step-change advance in the abrasion resistance of PDC cutters,  leading
         to significantly longer and more cost-effective drilling operations.

KBR new contract awards:

    -    KBR has been awarded the contract to provide engineering,  procurement,
         and construction  management  services for BP's Greater Plutonio fields
         located in Block 18 offshore Angola.  The services are for the floating
         production,  storage,  and offloading  vessel and the associated subsea
         systems.

    -    KBR has been awarded the seven-year  contract for CONLOG  (Contract for
         Logistics Support) by the United Kingdom Ministry of Defence to provide
         logistics  and   infrastructure   support  to  Permanent  Joint  Forces
         Headquarters operations and exercises worldwide.

    -    KBR is providing  engineering  services for the onshore design of a Gas
         to Liquids (GTL) project in Qatar under a Front End Engineering  Design
         (FEED) contract awarded to its joint venture partner JGC Corporation of
         Japan by Shell Global Solutions.


Halliburton,  founded  in  1919,  is one of the  world's  largest  providers  of
products and services to the petroleum and energy industries. The company serves
its  customers  with a broad range of products and  services  through its Energy
Services and Engineering and Construction  Groups.  The company's World Wide Web
site can be accessed at www.halliburton.com.


                                     -more-



NOTE: The  statements in this press release that are not historical  statements,
including statements regarding future financial performance, are forward-looking
statements  within the meaning of the federal  securities laws. These statements
are subject to numerous  risks and  uncertainties,  many of which are beyond the
company's  control,  which could cause actual results to differ  materially from
the  results   expressed  or  implied  by  the   statements.   These  risks  and
uncertainties  include, but are not limited to: legal risks, including the risks
of being  unable to complete  the  proposed  settlement  of asbestos  and silica
liabilities,   the  risks  of  having   material   subsidiaries  in  Chapter  11
proceedings,  the risks of audits and  investigations of the company by domestic
and foreign government  agencies and legislative  bodies, the risks of judgments
against the  company's  subsidiaries  and  predecessors  in asbestos  litigation
pending  and  currently  on appeal,  the  inability  of  insurers  for  asbestos
exposures  to pay  claims  or a delay  in the  payment  of such  claims,  future
asbestos claims defense and settlement costs, the risks of judgments against the
company and its  subsidiaries  in other  litigation and  proceedings,  including
shareholder  lawsuits,  securities laws  inquiries,  contract  disputes,  patent
infringements  and  environmental  matters,  legislation,  changes in government
regulations and adverse  reaction to scrutiny  involving the company;  political
risks,  including  the  risks of  unsettled  political  conditions,  war and the
effects  of  terrorism,  foreign  operations  and  foreign  exchange  rates  and
controls;  liquidity risks,  including the risks of potential reductions in debt
ratings,  access to credit,  availability  and costs of financing and ability to
raise capital;  weather-related  risks;  customer risks,  including the risks of
changes in capital spending and claims negotiations;  industry risks,  including
the risks of changes  that  affect  the  demand for or price of oil and/or  gas,
structural  changes in the  industries in which the company  operates,  risks of
fixed-fee  projects and risks of complex business  arrangements;  systems risks,
including  the risks of successful  development  and  installation  of financial
systems; and personnel and  merger/reorganization/disposition  risks,  including
the risks of increased  competition  for  employees,  successful  integration of
acquired businesses,  effective  restructuring efforts and successful completion
of planned dispositions. Please see Halliburton's Form 10-K/A for the year ended
December 31, 2003 for a more complete discussion of such risk factors.


                                     -more-





                               HALLIBURTON COMPANY
                 Condensed Consolidated Statements of Operations
             (Millions of dollars and shares except per share data)
                                   (Unaudited)

                                                                         Three Months                 Three Months
                                                                            Ended                        Ended
                                                                           March 31                    December 31
                                                            --------------------------------------------------------------
                                                                  2004                    2003               2003
--------------------------------------------------------------------------------------------------------------------------
                                                                                             
Revenues
Drilling and Formation Evaluation                              $     444               $     379           $     417
Fluids                                                               535                     480                 531
Production Optimization                                              708                     627                 713
Landmark and Other Energy Services                                   129                     125                 138
--------------------------------------------------------------------------------------------------------------------------
    Total Energy Services Group                                    1,816                   1,611               1,799
Engineering and Construction Group                                 3,703                   1,449               3,665
--------------------------------------------------------------------------------------------------------------------------
    Total revenues                                             $   5,519               $   3,060           $   5,464
==========================================================================================================================
Operating income (loss)
Drilling and Formation Evaluation                              $      43               $      66           $      17
Fluids                                                                60                      55                  73
Production Optimization                                               82                      68                 115
Landmark and Other Energy Services                                    29                      (9)                 36
--------------------------------------------------------------------------------------------------------------------------
    Total Energy Services Group                                      214                     180                 241
Engineering and Construction Group                                   (15)                    (19)                 82
General corporate                                                    (24)                    (19)                (20)
--------------------------------------------------------------------------------------------------------------------------
    Total operating income                                           175                     142                 303
--------------------------------------------------------------------------------------------------------------------------
Interest expense                                                     (56)                    (27)                (54)
Interest income                                                       10                       8                   8
Foreign currency, net                                                 (3)                     (6)                  4
Other, net                                                             5                       -                  (1)
--------------------------------------------------------------------------------------------------------------------------
Income from continuing operations before
    income taxes, minority interest, and change in
    accounting principle                                             131                     117                 260
Provision for income taxes                                           (49)                    (50)                (92)
Minority interest in net income of subsidiaries                       (6)                     (8)                (22)
--------------------------------------------------------------------------------------------------------------------------
Income from continuing operations before
    change in accounting principle                                    76                      59                 146
Loss from discontinued operations, net                              (141)                     (8)             (1,093)
Cumulative effect of change in accounting principle, net               -                      (8)                  -
--------------------------------------------------------------------------------------------------------------------------
Net income (loss)                                              $     (65)              $      43           $    (947)
==========================================================================================================================
Basic income (loss) per share:
Income from continuing operations before change
    in accounting principle                                    $    0.17               $    0.14           $    0.34
Loss from discontinued operations, net                             (0.32)                  (0.02)              (2.52)
Cumulative effect of change in accounting principle, net               -                   (0.02)                  -
--------------------------------------------------------------------------------------------------------------------------
Net income (loss)                                              $   (0.15)              $    0.10           $   (2.18)
==========================================================================================================================
Diluted income (loss) per share:
Income from continuing operations before change
    in accounting principle                                    $    0.17               $    0.14           $    0.34
Loss from discontinued operations, net                             (0.32)                  (0.02)              (2.51)
Cumulative effect of change in accounting principle, net               -                   (0.02)                  -
--------------------------------------------------------------------------------------------------------------------------
Net income (loss)                                              $   (0.15)              $    0.10           $   (2.17)
==========================================================================================================================
Basic weighted average common shares outstanding                     436                     434                 435
Diluted weighted average common shares outstanding                   440                     436                 438

See  Footnote  Table 1 for a list of  significant  items  included in  operating
income.



                                                                -more-






                               HALLIBURTON COMPANY
                      Condensed Consolidated Balance Sheets
                              (Millions of dollars)
                                   (Unaudited)


                                                                      March 31                    December 31
                                                       -----------------------------------------------------------
                                                              2004                2003                2003
------------------------------------------------------------------------------------------------------------------
                                                                                         
                      Assets

Current assets:
Cash and equivalents                                      $     1,933          $     928          $     1,815
Total receivables, net                                          5,720              3,293                4,765
Inventories                                                       743                757                  695
Other current assets                                              867                460                  644
------------------------------------------------------------------------------------------------------------------
Total current assets                                            9,263              5,438                7,919

Property, plant, and equipment, net                             2,537              2,492                2,526
Insurance for asbestos- and silica-related liabilities          1,535              2,059                2,038
Other assets                                                    3,072              2,595                2,980
------------------------------------------------------------------------------------------------------------------
Total assets                                              $    16,407          $  12,584          $    15,463
==================================================================================================================

        Liabilities and Shareholders' Equity

Current liabilities:
Short-term notes payable                                  $         9          $       9          $        18
Current maturities of long-term debt                               23                299                   22
Accounts payable                                                2,102                949                1,776
Asbestos- and silica-related liabilities                        2,505                  -                2,507
Other current liabilities                                       2,284              1,788                2,219
------------------------------------------------------------------------------------------------------------------
Total current liabilities                                       6,923              3,045                6,542

Long-term debt                                                  3,934              1,175                3,415
Asbestos- and silica-related liabilities                        1,769              3,407                1,579
Other liabilities                                               1,199              1,314                1,280
------------------------------------------------------------------------------------------------------------------
Total liabilities                                              13,825              8,941               12,816
------------------------------------------------------------------------------------------------------------------
Minority interest in consolidated subsidiaries                    110                 81                  100
Shareholders' equity                                            2,472              3,562                2,547
------------------------------------------------------------------------------------------------------------------
Total liabilities and shareholders' equity                $    16,407          $  12,584          $    15,463
==================================================================================================================

Note:  These Condensed Consolidated Balance Sheets do not include a breakout of prepetition liabilities.  This
information will be provided in our first quarter 2004 Form 10-Q.




                                                                -more-





                                                                TABLE 1

                                                          HALLIBURTON COMPANY
                                                Revenue and Operating Income Comparison
                                           By Geographic Region - Energy Services Group Only
                                                         (Millions of dollars)
                                                              (Unaudited)


                                                  Three Months Ended            Three Months Ended
                                                       March 31                     December 31
                                         -----------------------------------------------------------
                                              2004               2003                 2003
----------------------------------------------------------------------------------------------------
                                                                       
Revenues:
North America                               $    814          $      745          $    787
Latin America                                    229                 182               255
Europe/Africa                                    372                 342               350
Middle East/Asia                                 401                 342               407
----------------------------------------------------------------------------------------------------
       Total revenues                       $  1,816          $    1,611          $  1,799
====================================================================================================

Operating Income:
North America                               $    118          $       84          $    100
Latin America                                     30                  23                48
Europe/Africa                                     19                  32                36
Middle East/Asia                                  47                  41                57
----------------------------------------------------------------------------------------------------
       Total operating income               $    214          $      180          $    241
====================================================================================================

See Footnote Table 2 for a list of significant items included in operating income.



                                                                -more-






                                                           FOOTNOTE TABLE 1

                                                          HALLIBURTON COMPANY
                                        Items Included in Operating Income by Operating Segment
                                              (Millions of dollars except per share data)
                                                             (Unaudited)


                                    Three Months Ended             Three Months Ended              Three Months Ended
                                         March 31                       March 31                       December 31
                                           2004                           2003                            2003
                               -------------------------      --------------------------      -------------------------
                                Operating    After Tax         Operating    After Tax          Operating    After Tax
                                 Income      per Share          Income      per Share           Income      per Share
                               -------------------------      --------------------------      -------------------------
                                                                                          
Drilling and Formation
    Evaluation:
    Mono Pumps gain on sale     $     -     $       -            $   36       $  0.05            $     -      $      -
Landmark and Other
   Energy Services:
   Anglo-Dutch lawsuit               13          0.02                 -             -                  -             -
   Wellstream loss on sale            -             -               (15)        (0.03)                 -             -
Engineering and
   Construction Group:
   Barracuda-Caratinga
       project loss                 (97)        (0.14)              (55)        (0.08)               (10)        (0.01)




========================================================================================================================




                                                           FOOTNOTE TABLE 2

                                                          HALLIBURTON COMPANY
                                                  Items Included in Operating Income
                                           By Geographic Region - Energy Services Group Only
                                              (Millions of dollars except per share data)
                                                             (Unaudited)


                                      Three Months Ended            Three Months Ended            Three Months Ended
                                           March 31                      March 31                     December 31
                                             2004                          2003                          2003
                                   -------------------------     -------------------------      ------------------------
                                   Operating    After Tax         Operating    After Tax        Operating    After Tax
                                    Income      per Share          Income      per Share         Income      per Share
                                   -------------------------     -------------------------      ------------------------
                                                                                           
North America:
    Anglo-Dutch lawsuit             $    13      $  0.02           $    -       $     -          $     -      $      -
    Mono Pumps gain on sale               -            -               24          0.03                -             -
    Wellstream loss on sale               -            -              (11)        (0.02)               -             -
Europe/Africa:
    Mono Pumps gain on sale               -            -               12          0.02                -             -
    Wellstream loss on sale               -            -               (4)        (0.01)               -             -




                                                                  ###


                                   SIGNATURES

Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned hereunto duly authorized.


                                       HALLIBURTON COMPANY




Date:     April 29, 2004               By: /s/ Margaret E. Carriere
                                          -----------------------------------
                                               Margaret E. Carriere
                                               Vice President and Secretary