-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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<SEC-DOCUMENT>0001209191-10-005458.txt : 20100129
<SEC-HEADER>0001209191-10-005458.hdr.sgml : 20100129
<ACCEPTANCE-DATETIME>20100129124654
ACCESSION NUMBER:		0001209191-10-005458
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100127
FILED AS OF DATE:		20100129
DATE AS OF CHANGE:		20100129

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Tritch Stephen R
		CENTRAL INDEX KEY:			0001463204

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-12227
		FILM NUMBER:		10556672

	MAIL ADDRESS:	
		STREET 1:		4171 ESSEN LANE
		CITY:			BATON ROUGE
		STATE:			LA
		ZIP:			70809

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			SHAW GROUP INC
		CENTRAL INDEX KEY:			0000914024
		STANDARD INDUSTRIAL CLASSIFICATION:	MISCELLANEOUS FABRICATED METAL PRODUCTS [3490]
		IRS NUMBER:				721106167
		STATE OF INCORPORATION:			LA
		FISCAL YEAR END:			0831

	BUSINESS ADDRESS:	
		STREET 1:		4171 ESSEN LANE
		STREET 2:		1ST FLOOR
		CITY:			BATON ROUGE
		STATE:			LA
		ZIP:			70809
		BUSINESS PHONE:		2259322500

	MAIL ADDRESS:	
		STREET 1:		4171 ESSEN LANE
		STREET 2:		11TH FLOOR
		CITY:			BATON ROUGE
		STATE:			LA
		ZIP:			70809
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2010-01-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000914024</issuerCik>
        <issuerName>SHAW GROUP INC</issuerName>
        <issuerTradingSymbol>SHAW</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001463204</rptOwnerCik>
            <rptOwnerName>Tritch Stephen R</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4171 ESSEN LANE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BATON ROUGE</rptOwnerCity>
            <rptOwnerState>LA</rptOwnerState>
            <rptOwnerZipCode>70809</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Non-Employee Director Stock Option (Right to Buy)</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>30.17</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2010-01-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2094</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2011-01-27</value>
            </exerciseDate>
            <expirationDate>
                <value>2020-01-27</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2094</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2094</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2010-01-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1467</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1467</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1467</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Non-qualified stock options awarded to each non-employee director pursuant to the Company's 2008 Omnibus Incentive Plan upon their election/re-election to the Company's Board of Directors.  The stock options are fully exercisable one year after the effective date of grant.</footnote>
        <footnote id="F2">Each restricted stock unit represents a contingent right to receive one share of the Company's no par value common stock.</footnote>
        <footnote id="F3">Represents the total number of restricted stock units granted.</footnote>
        <footnote id="F4">Effective January 27, 2010, the reporting person received an award of restricted stock units that will vest in three (3) annual installments commencing on January 27, 2011, with 33% vesting each year in the first two (2) years and 34% vesting in the third and final year.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>*  /s/ Stephen R. Tritch

*  Pursuant to a Power of Attorney previously filed</signatureName>
        <signatureDate>2010-01-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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