-----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,
 IYN8HcdA8p2nn/FH8XCpJQHpZbgo4NniQtS1mmLuf3vJiHMsTZrqKxQVugZSp61P
 PeZDuTtC9aiucyy3eQCc+w==

<SEC-DOCUMENT>0001209191-05-004608.txt : 20050125
<SEC-HEADER>0001209191-05-004608.hdr.sgml : 20050125
<ACCEPTANCE-DATETIME>20050125143049
ACCESSION NUMBER:		0001209191-05-004608
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050124
FILED AS OF DATE:		20050125
DATE AS OF CHANGE:		20050125

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			ROEMER CHARLES E III
		CENTRAL INDEX KEY:			0001216570

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-12227
		FILM NUMBER:		05546862

	BUSINESS ADDRESS:	
		STREET 1:		6100 CORPORATE BLVD.
		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>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-01-24</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001216570</rptOwnerCik>
            <rptOwnerName>ROEMER CHARLES E III</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6100 CORPORATE BLVD.</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 Stock Option (Right to Buy)</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>16.11</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-01-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2015-01-24</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1500</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">A stock option (the &quot;Annual Option&quot;) automatically awarded to each non-employee director pursuant to the Company's existing 1996 Non-Employee Director Stock Option Plan upon re-election to the Board of Directors, effective as of the Company's 2005 Annual Meeting of the Shareholders held on January 24, 2005.  Subject to subsequent approval by the Company's shareholders at the 2006 Annual Meeting of the Shareholders, and to applicable laws and regulations (including securities exchange listing standards), the Annual Option shall be superceded and replaced with an award of $75,000, payable 50% in options and 50% in restricted shares of the Company's common stock, to be awarded under a new plan for non-employee directors.  The number of such options and restricted shares awarded shall be determined by dividing $75,000 by the closing price of the Company's common stock on January 24, 2005 ($16.11), and then dividing said value 50% into options and 50% into restricted shares.</f
ootnote>
        <footnote id="F2">The Annual Option shall be exerciseable on the date of the Company's 2006 Annual Meeting of the Shareholders, if the Company's sharesholders do not approve a new plan for non-employee directors of the Company.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Charles E. Roemer, III</signatureName>
        <signatureDate>2005-01-25</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----