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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1. Name and Address of Reporting Person * CONTRAN CORP   2. Issuer Name and Ticker or Trading Symbol COMPX INTERNATIONAL INC [CIX] 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) 5430 LBJ FRWY, SUITE 1700 3. Date of Earliest Transaction (Month/Day/Year) 06/28/2006 (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 Class A Common Stock $0.01 par value 06/28/2006   J(1)   4,300 A $ 15.75 350,404 I by NL (2) Class A Common Stock $0.01 par value               483,600 I by TFMC (3) Class A Common Stock $0.01 par value               2,586,820 I by CGI (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
CONTRAN CORP 5430 LBJ FRWY SUITE 1700 DALLAS, TX 75240		X
VALHI INC /DE/ THREE LINCOLN CENTER 5430 LBJ FREEWAY SUITE 1700 DALLAS, TX 75240		X
DIXIE RICE AGRICULTURE CORP INC 600 PASQUIERE ST GUEYDAN, LA 70542		X
SOUTHWEST LOUISIANA LAND CO INC 402 CANAL ST HOUMA, LA 70360		X
TIMET FINANCE MANAGEMENT CO 913 N MARKET ST SUITE 217 WILMINGTON, DE 19801		X
TITANIUM METALS CORP TITANIUM METALS CORP 1999 BROADWAY SUITE 4300 DENVER, CO 80202		X
NATIONAL CITY LINES INC 5430 LBJ FREEWAY SUITE 1700 DALLAS, TX 75240		X
NL INDUSTRIES INC 5430 LBJ FREEWAY SUITE 1700 DALLAS, TX 75240-2697		X
CompX Group, Inc. 5430 LBJ FREEWAY, SUITE 1700 DALLAS, TX 75240-2697		X
SIMMONS HAROLD C THREE LINCOLN CENTRE 5430 LBJ FREEWAY STE 1700 DALLAS, TX 75240-2697		X

Signatures

A. Andrew R. Louis, Secretary, for Contran Corporation		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for Valhi, Inc.		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for Dixie Rice Agricultural Corporation, Inc.		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for Southwest Louisiana Land Company, Inc.		06/30/2006
**Signature of Reporting Person		Date
Gregory M. Swalwell, Vice President, TIMET Finance Management Company		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for Titanium Metals Corporation		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for National City Lines, Inc.		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for NL Industries, Inc.		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Secretary, for CompX Group, Inc.		06/30/2006
**Signature of Reporting Person		Date
A. Andrew R. Louis, Attorney-in-fact, for Harold C. Simmons		06/30/2006
**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)	Open market purchase by NL Industries, Inc. See the Additional Information filed as Exhibit 99 to this statement for a description of the relationships among the persons joining in this filing.
(2)	Directly held by NL Industries, Inc. See the Additional Information filed as Exhibit 99 to this statement for a description of the relationships among the persons joining in this filing.
(3)	Directly held by TIMET Finance Management Company. See the Additional Information filed as Exhibit 99 to this statement for a description of the relationships among the persons joining in this filing.
(4)	Directly held by CompX Group, Inc. See the Additional Information filed as Exhibit 99 to this statement for a description of the relationships among the persons joining in this filing.
Remarks: Mr. Harold C. Simmons and his spouse directly hold 56,900 and 20,000 shares, respectively, of the Class A Common Stock of the  issuer.  Mr. Simmons disclaims beneficial ownership of the shares of the issuer's common stock that his spouse owns. This form is also filed on behalf of:  Tremont LLC, 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A. Andrew R.  Louis, Secretary (signed 06/30/06), NOA, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A. Andrew R. Louis,  Secretary (signed 06/30/06), Dixie Holding, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A. Andrew R.  Louis, Secretary (signed 06/30/06), Valhi Group, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A. Andrew R.  Louis, Secretary (signed 06/30/06) and Valhi Holding Company, 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A.  Andrew R. Louis, Secretary (signed 06/30/06). See the Additional Information filed as Exhibit 99 to this statement for a description of the relationships among the persons  joining in this filing. Exhibit Index Exhibit 99 - Additional Information

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