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* PRECOURT JAY A (Last) (First) (Middle) 328 MILL CREEK CIRCLE (Street) VAIL CO 81657 (City) (State) (Zip)	2. Issuer Name and Ticker or Trading Symbol HALLIBURTON CO [ HAL ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) X Director 10% Owner Officer (give title below) Other (specify below)
	3. Date of Earliest Transaction (Month/Day/Year) 01/31/2005
	4. If Amendment, Date of Original Filed (Month/Day/Year)	6. Individual or Joint/Group Filing (Check Applicable Line) X Form filed by One Reporting Person 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								16,140	D

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
Stock Equivalent Units	(1)	01/31/2005		A		245.84(2)		(3)	(3)	Common Stock	245.84	(4)	8,567.34	D
Option to Buy Common Stock	$51.5							(5)	05/17/2010	Common Stock	1,000		1,000	D
Option to Buy Common Stock	$51							(5)	09/18/2010	Common Stock	5,000		5,000	D
Option to Buy Common Stock	$43.656							(5)	03/19/2008	Common Stock	1,000		1,000	D
Option to Buy Common Stock	$45.35							(5)	05/15/2011	Common Stock	2,000		2,000	D
Option to Buy Common Stock	$16.75							(5)	05/15/2012	Common Stock	2,000		2,000	D
Option to Buy Common Stock	$38.875							(5)	11/20/2007	Common Stock	500		500	D

Explanation of Responses:

1. The security converts to common stock on a one-for-one basis.

2. Stock equivalents acquired under the Halliburton Company's Directors' Deferred Compensation Plan reported on a pro rata basis to reflect Issuer's Plan quarter. Said Plan is an ongoing securities acquisition plan.

3. The stock equivalent units were accrued under the Company's Directors' Deferred Compensation Plan and are settled in the Company's common stock upon cessation as a director.

4. On January 28, 2005, the closing price of Halliburton Company Common Stock on the New York Stock Exchange was $40.84 per share.

5. Options are exercisable six months after the date of grant.

Remarks:

	Margaret E. Carriere, by Power of Attorney	02/01/2005
	** Signature of Reporting Person	Date
Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
* 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).
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