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Proc-Type: 2001,MIC-CLEAR
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<SEC-DOCUMENT>0001209191-07-023254.txt : 20070410
<SEC-HEADER>0001209191-07-023254.hdr.sgml : 20070410
<ACCEPTANCE-DATETIME>20070410144921
ACCESSION NUMBER:		0001209191-07-023254
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20070409
FILED AS OF DATE:		20070410
DATE AS OF CHANGE:		20070410

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			HESS CORP
		CENTRAL INDEX KEY:			0000004447
		STANDARD INDUSTRIAL CLASSIFICATION:	PETROLEUM REFINING [2911]
		IRS NUMBER:				134921002
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0503

	BUSINESS ADDRESS:	
		STREET 1:		1185 AVENUE OF THE AMERICAS
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10036
		BUSINESS PHONE:		2129978500

	MAIL ADDRESS:	
		STREET 1:		1185 AVENUE OF THE AMERICAS
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10036

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	AMERADA HESS CORP
		DATE OF NAME CHANGE:	19920703

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	AMERADA PETROLEUM CORP
		DATE OF NAME CHANGE:	19690727

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			HESS JOHN B
		CENTRAL INDEX KEY:			0001087997

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-01204
		FILM NUMBER:		07758655

	BUSINESS ADDRESS:	
		STREET 1:		AMERADA HESS CORP
		STREET 2:		1185 AVENUE OF THE AMERICAS
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10036
		BUSINESS PHONE:		2129978500

	MAIL ADDRESS:	
		STREET 1:		C/O HESS CORPORATION
		STREET 2:		1185 AVENUE OF THE AMERICAS
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10036
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2007-04-09</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000004447</issuerCik>
        <issuerName>HESS CORP</issuerName>
        <issuerTradingSymbol>HES</issuerTradingSymbol>
    </issuer>

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        <reportingOwnerId>
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            <rptOwnerName>HESS JOHN B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HESS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>1185 AVENUE OF THE AMERICAS</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10036</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chairman of the Board and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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            <deemedExecutionDate></deemedExecutionDate>
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            <transactionAmounts>
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                <transactionPricePerShare>
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                <transactionPricePerShare>
                    <value>55.92</value>
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                    <value>D</value>
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                    <value>11264979</value>
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                <value>Common Stock, $1.00 par value</value>
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                <transactionCode>S</transactionCode>
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                <value></value>
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                    <value>D</value>
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    <footnotes>
        <footnote id="F1">The sales of shares set forth herein are made in connection with a selling plan by the charitable lead annuity trust referred to below dated August 1, 2006, as amended February 5, 2007, that is intended to comply with Rule 10b5-1(c).</footnote>
        <footnote id="F2">Held by a previously reported charitable lead annuity trust established under the will of Leon Hess. The reporting person is one of five trustees of the trust.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>George C. Barry for John B. Hess</signatureName>
        <signatureDate>2007-04-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----