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 *
MIRE WELDON J
   2. Issuer Name and Ticker or Trading Symbol
HALLIBURTON CO [HAL] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
Vice Pres - Human Resources
(Last)
(First)
(Middle)
HALLIBURTON COMPANY, 10200 BELLAIRE BLVD.		 3. Date of Earliest Transaction (Month/Day/Year)
12/02/2004
(Street)

HOUSTON, TX 77072		 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 12/02/2004   A   5,000 (1) A $ 38.61 (2) 33,303.15 D  
Common Stock 12/02/2004   D   0.257 (3) D $ 41.35 859.097 I Master Trust

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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 $ 38.61 12/02/2004   A   4,500 (4)   12/02/2004(5) 12/02/2014 Common Stock 4,500 $ 38.61 4,500 D  
Option to Buy Common Stock $ 26.03             01/02/2004 01/02/2014 Common Stock 6,810   6,810 D  
Option to Buy Common Stock $ 39.5             12/02/2000 12/02/2009 Common Stock 3,000   3,000 D  
Option to Buy Common Stock $ 29.0625             02/17/2000 02/17/2009 Common Stock 1,800   1,800 D  
Option to Buy Common Stock $ 31.55             04/01/2003 07/19/2011 Common Stock 3,225   3,225 D  
Option to Buy Common Stock $ 39.55             02/23/2002 02/23/2011 Common Stock 7,500   7,500 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
MIRE WELDON J
HALLIBURTON COMPANY
10200 BELLAIRE BLVD.
HOUSTON, TX 77072		       Vice Pres - Human Resources  

Signatures

 Michael A. Weberpal, by Power of Attorney   12/06/2004
**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) Shares awarded pursuant to the Halliburton Company 1993 Stock and Incentive Plan. Said Plan provides for the surrender of common stock to the Issuer to satisfy withholding tax obligations.
(2) On December 2, 2004, the closing price of Halliburton Company Common Stock on the New York Stock Exchange was $38.61.
(3) Reporting Person's beneficial interest in 859.097 shares of Halliburton Company Common Stock by the Halliburton Company Employee Benefit Master Trust No. 3, which shares are 100% vested.
(4) Stock Options awarded pursuant to the Halliburton Company 1993 Stock and Incentive Plan. Said Plan provides for the surrender of common stock to the Issuer to satisfy withholding tax obligations.
(5) The options granted become exercisable on each of the first, second and third aniversaries of the grant in cumulative increments of one-third each of the number of shares subject to the option.

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