-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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<SEC-DOCUMENT>0000045012-05-000194.txt : 20050624
<SEC-HEADER>0000045012-05-000194.hdr.sgml : 20050624
<ACCEPTANCE-DATETIME>20050624154618
ACCESSION NUMBER:		0000045012-05-000194
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		2
CONFORMED PERIOD OF REPORT:	20050623
FILED AS OF DATE:		20050624
DATE AS OF CHANGE:		20050624

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			CORNELISON ALBERT O JR
		CENTRAL INDEX KEY:			0001197217

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-03492
		FILM NUMBER:		05915118

	BUSINESS ADDRESS:	
		STREET 1:		4100 CLINTON DRIVE
		STREET 2:		BLDG 1 7TH FLOOR
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77020
		BUSINESS PHONE:		7136764601

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			HALLIBURTON CO
		CENTRAL INDEX KEY:			0000045012
		STANDARD INDUSTRIAL CLASSIFICATION:	OIL, GAS FIELD SERVICES, NBC [1389]
		IRS NUMBER:				752677995
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		1401MCKINNEY
		STREET 2:		1401 MCKINNEY
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77010
		BUSINESS PHONE:		7137592600

	MAIL ADDRESS:	
		STREET 1:		1401 MCKINNEY
		STREET 2:		1401 MCKINNEY
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77010

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	HALLIBURTON OIL WELL CEMENTING CO
		DATE OF NAME CHANGE:	19660911
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgar.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-06-23</periodOfReport>

    <issuer>
        <issuerCik>0000045012</issuerCik>
        <issuerName>HALLIBURTON CO</issuerName>
        <issuerTradingSymbol>HAL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197217</rptOwnerCik>
            <rptOwnerName>CORNELISON ALBERT O JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HALLIBURTON COMPANY</rptOwnerStreet1>
            <rptOwnerStreet2>1401 MCKINNEY STREET</rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77010</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP and General Counsel</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2005-06-23</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>3939</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>31.55</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>87243</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2005-06-23</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>3939</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>48.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>83304</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Option to Buy Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>31.55</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-06-23</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>3939</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2003-04-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2011-07-19</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3939</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3936</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Option to Buy Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>26.03</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2004-01-02</value>
            </exerciseDate>
            <expirationDate>
                <value>2014-01-02</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>21956</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>21956</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option to Buy Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>38.61</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2004-12-02</value>
            </exerciseDate>
            <expirationDate>
                <value>2014-12-02</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>12000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>12000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option to Buy Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>39.50</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2000-12-02</value>
            </exerciseDate>
            <expirationDate>
                <value>2009-12-02</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>6000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option to Buy Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>34.75</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2001-12-06</value>
            </exerciseDate>
            <expirationDate>
                <value>2010-12-06</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option to Buy Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>38.875</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>1998-11-20</value>
            </exerciseDate>
            <expirationDate>
                <value>2007-12-20</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3600</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3600</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The sales were effected pursuant to a Rule 10b5-1 trading plan adopted by the Reporting Person on March 18, 2005.</footnote>
        <footnote id="F2">Options disposed of through exercise pursuant to a Rule 10b1-5 trading plan adopted by the Reporting Person on March 18, 2005.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Margaret E. Carriere, by Power of Attorney</signatureName>
        <signatureDate>2005-06-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-24
<SEQUENCE>2
<FILENAME>attach_1.htm
<DESCRIPTION>POWER OF ATTORNEY EXECUTED BY ALBERT O. CORNELISON, JR.
<TEXT>
<HTML><BODY><PRE>POWER OF ATTORNEY





 KNOW ALL MEN BY THESE PRESENTS, that I, the undersigned, do hereby constitute and appoint Margaret E. Carriere, Robert L. Hayter and Bruce A. Metzinger, or any of them acting alone, my true and lawful attorneys-in-fact and agents, with full power of substitution and resubstitution, to prepare and sign for me, and in my name, place and stead, in any and all capacities, any and all reports as may from time to time be required under Section 16(a) of the Securities Exchange Act of 1934, as amended, and the rules, regulations and requirements of the Securities and Exchange Commission in respect thereof, and to file the same with the Securities and Exchange Commission, granting unto said attorneys-in-fact and agents full power and authority to do and perform each and every act and thing requisite and necessary to be done (with full power to each of them to act alone), as fully and to all intents and purposes as I might or could do in person, hereby ratifying and confirming all that said attorneys-in-fact and agen
ts or any of them, or their substitutes, may lawfully do or cause to be done by virtue hereof.

 This Power of Attorney shall remain in full force and effect until such time that I am no longer a Section 16 Reporting Person, or until revoked by me in writing, or five years from the date hereof, whichever comes first.

 IN WITNESS WHEREOF, I hereto set my hand this 24th day of  May, 2005.



      /s/ Albert O. Cornelison, Jr.

       Albert O. Cornelison, Jr.



















</PRE></BODY></HTML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----
