SEC Form 4

FORM 4		UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940	OMB APPROVAL OMB Number: 3235-0287 Estimated average burden hours per response: 0.5
	Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

1. Name and Address of Reporting Person* CONTRAN CORP (Last) (First) (Middle) 5430 LBJ FRWY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip)	2. Issuer Name and Ticker or Trading Symbol KRONOS WORLDWIDE INC [ KRO ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) Director X 10% Owner Officer (give title below) Other (specify below)
	3. Date of Earliest Transaction (Month/Day/Year) 05/11/2004
	4. If Amendment, Date of 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

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 $0.01 par value	05/11/2004		J(1)		6,400	A	$30	16,098,048	I	by Valhi(2)
Common Stock $0.01 par value	05/12/2004		J(1)		100	A	$29.9	16,098,148	I	by Valhi(2)
Common Stock $0.01 par value	05/12/2004		J(1)		9,500	A	$30	16,107,648	I	by Valhi(2)
Common Stock $0.01 par value								24,702,400	I	by NL(3)
Common Stock $0.01 par value								5,180,738	I	by Tremont(4)

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 Securities Underlying Derivative Security (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: 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

1. Name and Address of Reporting Person* CONTRAN CORP (Last) (First) (Middle) 5430 LBJ FRWY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* VALHI INC /DE/ (Last) (First) (Middle) 5430 LBJ FRWY STE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* NATIONAL CITY LINES INC (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* NL INDUSTRIES INC (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240-2697 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* TREMONT LLC (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* SIMMONS HAROLD C (Last) (First) (Middle) THREE LINCOLN CENTRE 5430 LBJ FREEWAY STE 1700 (Street) DALLAS TX 75240-2697 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer X Director X 10% Owner X Officer (give title below) Other (specify below) Chairman of the Board & CEO

1. Name and Address of Reporting Person* DIXIE HOLDING CO (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* DIXIE RICE AGRICULTURE CORP INC (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* NOA INC (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

1. Name and Address of Reporting Person* SOUTHWEST LOUISIANA LAND CO INC (Last) (First) (Middle) 5430 LBJ FREEWAY SUITE 1700 (Street) DALLAS TX 75240 (City) (State) (Zip) Relationship of Reporting Person(s) to Issuer Director X 10% Owner Officer (give title below) Other (specify below)

Explanation of Responses:

1. Open market purchase by Valhi, Inc. See the Additional Information filed as an exhibit to this statement for a description of the relationships among the persons joining in this filing.

2. Directly held by Valhi, Inc. See the Additional Information filed as an exhibit to this statement for a description of the relationships among the persons joining in this filing.

3. Directly held by NL Industries, Inc. See the Additional Information filed as an exhibit to this statement for a description of the relationships among the persons joining in this filing.

4. Directly held by Tremont LLC. See the Additional Information filed as an exhibit 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 3,042 and 35,233 shares, respectively, of the 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 Valhi Group, Inc., 5430 LBJ Freeway, Suite 1700, Dallas, TX 75240 By: /s/ A. Andrew R. Louis, Secretary (executed 05/13/04). See the Additional Information filed as an exhibit to this statement for a description of the relationships among the persons joining in this filing.

	A. Andrew R. Louis, Secretary, for Contran Corporation	05/13/2004
	A. Andrew R. Louis, Secretary, for Valhi, Inc.	05/13/2004
	A. Andrew R. Louis, Secretary, for National City Lines, Inc.	05/13/2004
	A. Andrew R. Louis, Assistant Secretary, for NL Industries, Inc.	05/13/2004
	A. Andrew R. Louis, Secretary, for Tremont LLC	05/13/2004
	A. Andrew R. Louis, Attorney in fact, for Harold C. Simmons	05/13/2004
	A. Andrew R. Louis, Secretary, for Dixie Holding Company	05/13/2004
	A. Andrew R. Louis, Secretary, for Dixie Rice Agricultural Corporation, Inc.	05/13/2004
	A. Andrew R. Louis, Secretary, for NOA, Inc.	05/13/2004
	A. Andrew R. Louis, Secretary, for Southwest Louisiana Land Company, Inc.	05/13/2004
	** Signature of Reporting Person	Date
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* If the form is filed by more than one reporting person, see Instruction 4 (b)(v).
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