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 * LESAR DAVID J   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 __X__ Officer (give title below) _____ Other (specify below) Chairman, Pres. and CEO (Last) (First) (Middle) 1401 MCKINNEY, SUITE 2400 3. Date of Earliest Transaction (Month/Day/Year) 07/05/2005 (Street) HOUSTON, TX 77010 4. If Amendment, Date 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 (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 07/05/2005   M   2,000 A $ 22.75 779,381 D   Common Stock 07/05/2005   S(1)   2,000 D $ 48.23 777,381 D   Common Stock 07/05/2005   M   1,000 A $ 29.5625 (2) 778,381 D   Common Stock 07/05/2005   S(1)   1,000 D $ 48.23 777,381 D   Common Stock 07/05/2005   S(1)   1,000 D $ 48.23 776,381 D   Common Stock               20,000 I Partnership

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

Option to Buy Common Stock

$ 22.75

07/05/2005

M

2,000

12/06/1996

12/06/2005

Common Stock

2,000

(3)

26,000

D

Option to Buy Common Stock

$ 26.437

02/14/1996

02/14/2006

Common Stock

30,000

30,000 (4)

D

Option to Buy Common Stock

$ 29.5625

07/05/2005

M

1,000

12/04/1997

12/04/2006

Common Stock

1,000

(3)

73,000 (5)

D

Option to Buy Common Stock

$ 44.08

03/03/2005

03/03/2015

Common Stock

100,000

100,000

D

Option to Buy Common Stock

$ 38.61

12/02/2004

12/02/2014

Common Stock

69,000

69,000

D

Option to Buy Common Stock

$ 26.03

01/02/2004

01/02/2014

Common Stock

100,000

100,000

D

Option to Buy Common Stock

$ 54.5

12/03/1998

12/03/2007

Common Stock

60,000

60,000

D

Option to Buy Common Stock

$ 28.125

12/02/1999

12/02/2008

Common Stock

65,000

65,000

D

Option to Buy Common Stock

$ 39.5

12/02/2000

12/02/2009

Common Stock

260,100

260,100

D

Option to Buy Common Stock

$ 51.5

09/14/2001

09/14/2010

Common Stock

300,000

300,000

D

Option to Buy Common Stock

$ 31.55

04/01/2003

07/19/2011

Common Stock

154,408

154,408

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
LESAR DAVID J 1401 MCKINNEY SUITE 2400 HOUSTON, TX 77010	X		Chairman, Pres. and CEO

Signatures

Robert L. Hayter, by Power of Attorney		07/07/2005
**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)	The sales were effected pursuant to a Rule 10b5-1 trading plan adopted by the Reporting Person on March 18, 2005.
(2)	In filings dated June 8, 2005, June 13, 2005, June 21, 2005 and June 28, 2005, the exercise and sale of 1,000 options was reported. The options were inadvertently deducted from the incorrect stock option grant. The grant that the shares were exercised from was incorrectly reported as 02/14/1996 at the share price of $26.4375, The correct block of option grants, which was awarded on 12/04/1996 at $29.5625 per share, is reflected on this Form 4.
(3)	Options disposed of through exercise pursuant to a Rule 10b1-5 trading plan adopted by the Reporting Person on March 18, 2005.
(4)	In filings dated June 8, 2005, June 13, 2005, June 21, 2005 and June 28, 2005, the exercise and sale of 1,000 options that were reported were inadvertently deducted from the inccorect stock option grant. The grant that the shares were exercised from was incorrectly reported as 02/14/1996 at the share price of $26.4375. The correct block of option grants, which was awared on 12/04/1996 at $29.5625 per share is reflected on this Form 4. Each of the 4,000 shares that were incorrectly deducted have been added back in to the grant.
(5)	The amount reflects the deduction of the 4,000 shares previously exercised and reported, but deducted from the incorrect stock option award, in the Forms 4 filed on June 8, June 13, June 21 and June 28, 2005 and the 1,000 shares exercised on July 5, 2005.

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