-----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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 Lg9mPWtCs2eP5BiAHbXO6A==

<SEC-DOCUMENT>0001252670-05-000058.txt : 20050611
<SEC-HEADER>0001252670-05-000058.hdr.sgml : 20050611
<ACCEPTANCE-DATETIME>20050607142001
ACCESSION NUMBER:		0001252670-05-000058
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20050603
FILED AS OF DATE:		20050607
DATE AS OF CHANGE:		20050607

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			WAL MART STORES INC
		CENTRAL INDEX KEY:			0000104169
		STANDARD INDUSTRIAL CLASSIFICATION:	RETAIL-VARIETY STORES [5331]
		IRS NUMBER:				710415188
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0131

	BUSINESS ADDRESS:	
		STREET 1:		702 SOUTHWEST 8TH ST
		CITY:			BENTONVILLE
		STATE:			AR
		ZIP:			72716
		BUSINESS PHONE:		5012734000

	MAIL ADDRESS:	
		STREET 1:		702 SOUTHWEST 8TH STREET
		CITY:			BENTONVILLE
		STATE:			AR
		ZIP:			72716

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			BURNS M MICHELE
		CENTRAL INDEX KEY:			0001197664

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-06991
		FILM NUMBER:		05882592

	MAIL ADDRESS:	
		STREET 1:		DELTA AIR LINES INC
		STREET 2:		950 POST OFFICE 20706
		CITY:			ATLANTA
		STATE:			GA
		ZIP:			30308
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-06-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000104169</issuerCik>
        <issuerName>WAL MART STORES INC</issuerName>
        <issuerTradingSymbol>WMT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197664</rptOwnerCik>
            <rptOwnerName>BURNS M MICHELE</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>MIRANT CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>1155 PERIMETER CENTER WEST</rptOwnerStreet2>
            <rptOwnerCity>ATLANTA</rptOwnerCity>
            <rptOwnerState>GA</rptOwnerState>
            <rptOwnerZipCode>30338</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>2005-06-03</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2005-06-03</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2956.71</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6945.71</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Each outside director is entitled to $140,000 of stock as part of his or her annual retainer.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Samuel Guess, By Power of Attorney</signatureName>
        <signatureDate>2005-06-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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