U.S. 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): June 2, 2004


                          NAPCO SECURITY SYSTEMS, INC.
             (Exact name of registrant as specified in its charter)


        DELAWARE                      0-10004                  11-2277818
(State of other jurisdiction        (Commission             (I.R.S. Employer
    of incorporation)               File Number)            Identification No.)


                                333 BAYVIEW AVE.
                              AMITYVILLE, NY 11701
          (Address of principal executive offices, including Zip Code)

       Registrant's telephone number, including area code: (631) 842-9400

                                 NOT APPLICABLE

         (Former name or former address, if changed since last report.)

ITEM 5.  Other Events and Regulation FD Disclosure.

Attached as Exhibit 99.1 hereto is a copy of a press release dated June 2, 2004.

Forward Looking Statements

This press release contains forward-looking statements that involve numerous
risks and uncertainties. Actual results, performance or achievements could
differ materially from those anticipated in such forward-looking statements as a
result of certain factors, including those set forth in the Company's filings
with the Securities and Exchange Commission.



ITEM 7.  FINANCIAL STATEMENTS AND EXHIBITS

         (a)      FINANCIAL STATEMENTS OF BUSINESSES ACQUIRED.

                  Not applicable.

         (b)      PRO FORMA FINANCIAL INFORMATION.

                  Not applicable.

         (c)      EXHIBITS.

                  Exhibit 99.1  Press Release of NAPCO SECURITY SYSTEMS, INC.
                  dated June 2, 2004.

                                   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.

                                       NAPCO SECURITY SYSTEMS, INC.


Date: June 2, 2004                   By:  /s/ KEVIN S. BUCHEL
                                          -------------------------
                                          Kevin S. Buchel
                                          Senior Vice President and
                                          Chief Financial Officer

                                  EXHIBIT INDEX



Exhibit No.       Description
               
Exhibit 99.1      Press Release of Napco Securities Systems, Inc. dated
                  June 2, 2004