Ownership Submission
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 *
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)
05/22/2006
(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 05/22/2006   J(1)   1,400 A $ 15.5 327,404 I by NL (2)
Class A Common Stock $0.01 par value 05/23/2006   J(1)   1,500 A $ 15.5 328,904 I by NL (2)
Class A Common Stock $0.01 par value 05/24/2006   J(1)   900 A $ 15.5 329,804 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    
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   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Secretary, for Valhi, Inc.   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Secretary, for Dixie Rice Agricultural Corporation, Inc.   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Secretary, for Southwest Louisiana Land Company, Inc.   05/24/2006
**Signature of Reporting Person Date

 Gregory M. Swalwell, Vice President, TIMET Finance Management Company   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Assistant Secretary, for Titanium Metals Corporation   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Secretary, for National City Lines, Inc.   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Assistant Secretary, for NL Industries, Inc.   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Secretary, for CompX Group, Inc.   05/24/2006
**Signature of Reporting Person Date

 A. Andrew R. Louis, Attorney-in-fact, for Harold C. Simmons   05/24/2006
**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 05/24/2006), NOA, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A. Andrew R.
 Louis, Secretary (signed 05/24/2006), Dixie Holding, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/ A.
 Andrew R. Louis, Secretary (signed 05/24/2006), Valhi Group, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240, By:  /s/
 A. Andrew R. Louis, Secretary (signed 05/24/2006) and Valhi Holding Company, 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240,
 By:  /s/ A. Andrew R. Louis, Secretary (signed 05/24/2006).

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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