FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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(Print or Type Responses)

1. Name and Address of Reporting Person * Harold C. Simmons Family Trust No. 2   2. Issuer Name and Ticker or Trading Symbol VALHI INC /DE/ [VHI] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director __X__ 10% Owner _____ Officer (give title below) _____ Other (specify below) (Last) (First) (Middle) THREE LINCOLN CENTER, 5430 LBJ FREEWAY, SUITE 1700 3. Date of Earliest Transaction (Month/Day/Year) 05/07/2018 (Street) DALLAS, TX 75240 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) ___ Form filed by One Reporting Person _X_ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock,par value $0.01 per share 05/07/2018   J(1)   3,686,866 D (1) 310,346,282 (2) I By VHC (2) Common Stock,par value $0.01 per share               3,636 D (3)   Common Stock,par value $0.01 per share               52,500 I By Connelly Trust (4)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Harold C. Simmons Family Trust No. 2 THREE LINCOLN CENTER, 5430 LBJ FREEWAY SUITE 1700 DALLAS, TX 75240		X
Simmons Lisa K THREE LINCOLN CENTER, 5430 LBJ FREEWAY SUITE 1700 DALLAS, TX 75240		X
CONNELLY SERENA S THREE LINCOLN CENTER, 5430 LBJ FREEWAY SUITE 1700 DALLAS, TX 75240		X
VALHI HOLDING CO 5430 LBJ FREEWAY, SUITE 1700 DALLAS, TX 75240		X

Signatures

Andrew B. Nace, Attorney-in-fact, for Lisa K. Simmons, Co-Trustee of the Harold C. Simmons Family Trust No. 2		05/17/2018
**Signature of Reporting Person		Date
Andrew B. Nace, Attorney-in-fact, for Serena S. Connelly, Co-Trustee of the Harold C. Simmons Family Trust No. 2		05/17/2018
**Signature of Reporting Person		Date
Andrew B. Nace, Executive Vice President of Valhi Holding Company		05/17/2018
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	See Exhibit 99.1 attached hereto for a description of the transaction.
(2)	Directly held by Valhi Holding Company ("VHC"). See Exhibit 99.2 to this statement for a description of the relationship of additional persons who may be deemed to beneficially own these shares, and for information regarding an additional 16,097,886 shares of Valhi common stock that are treated as treasury stock for voting purposes and are not included in the 310,346,282 number in column 5.
(3)	Directly held by Serena Simmons Connelly.
(4)	Held by the Serena S. Connelly 1998 Trust (the "Connelly Trust"), for which Serena Simmons Connelly is the sole trustee and sole beneficiary.
Remarks: Exhibit Index 99.1 Description of the Transaction 99.2 Additional Information

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