-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 GQnyWcgF8rO88rM6u/2ljMR1hdfwbx1thP8UaKjwRuTKEApmQR7XiRqyqcay+YSR
 1cOG+32LReM0+HCOaMei0A==

<SEC-DOCUMENT>0001209191-05-021344.txt : 20050420
<SEC-HEADER>0001209191-05-021344.hdr.sgml : 20050420
<ACCEPTANCE-DATETIME>20050420131108
ACCESSION NUMBER:		0001209191-05-021344
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050418
FILED AS OF DATE:		20050420
DATE AS OF CHANGE:		20050420

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BARKER JAMES F
		CENTRAL INDEX KEY:			0001278751

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-12227
		FILM NUMBER:		05761365

	BUSINESS ADDRESS:	
		STREET 1:		4171 ESSEN LANE
		CITY:			BATON ROUGE
		STATE:			LA
		ZIP:			70809
		BUSINESS PHONE:		2259322593

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>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-04-18</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001278751</rptOwnerCik>
            <rptOwnerName>BARKER JAMES F</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>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>COMMON STOCK</value>
            </securityTitle>
            <transactionDate>
                <value>2005-04-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>750</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>19.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>750</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes></footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/S/ James F. Barker</signatureName>
        <signatureDate>2005-04-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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