<?xml version="1.0"?>
<ownershipDocument>
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    <documentType>4</documentType>
    <periodOfReport>2003-07-08</periodOfReport>
    <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000104169</issuerCik>
        <issuerName>WAL MART STORES INC</issuerName>
        <issuerTradingSymbol>WMT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000904992</rptOwnerCik>
            <rptOwnerName>WALTON JOHN T</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>  </rptOwnerStreet1>
            <rptOwnerStreet2>  </rptOwnerStreet2>
            <rptOwnerCity>  </rptOwnerCity>
            <rptOwnerState>  </rptOwnerState>
            <rptOwnerZipCode>  </rptOwnerZipCode>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Director</otherText>
        </reportingOwnerRelationship>
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      <transactionTimeliness>
      <value />
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          <natureOfOwnership>
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          </natureOfOwnership>
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   <nonDerivativeSecurity>
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          <transactionValue>
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          </transactionValue>
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          <transactionValue>
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      <transactionDate>
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          <equitySwapInvolved>0</equitySwapInvolved>
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          <transactionAcquiredDisposedCode>
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          <transactionValue>
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   <nonDerivativeSecurity>
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      <transactionDate>
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          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
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      <transactionTimeliness>
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      <transactionAmounts>
          <transactionShares>
              <value>15100.00</value>
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          <transactionValue>
              <value>56.64</value>
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          <transactionAcquiredDisposedCode>
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   <nonDerivativeSecurity>
      <securityTitle>
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      <transactionDate>
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          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
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      <transactionTimeliness>
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      <transactionAmounts>
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          <transactionValue>
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   <nonDerivativeSecurity>
      <securityTitle>
          <value>Common Stock</value>
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      <transactionDate>
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      <transactionCoding>
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          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
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      <transactionTimeliness>
      <value />
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      <transactionAmounts>
          <transactionShares>
              <value>3000.00</value>
          </transactionShares>
          <transactionValue>
              <value>56.66</value>
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          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
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          <sharesOwnedFollowingTransaction>
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      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
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          <natureOfOwnership>
              <value>As Trustee</value>
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeSecurity>
   <nonDerivativeSecurity>
      <securityTitle>
          <value>Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-07-08</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-07-08</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
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      <transactionTimeliness>
      <value />
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      <transactionAmounts>
          <transactionShares>
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          <transactionValue>
              <value>56.67</value>
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          <transactionAcquiredDisposedCode>
              <value>D</value>
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      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
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          <natureOfOwnership>
              <value>As Trustee</value>
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   <nonDerivativeSecurity>
      <securityTitle>
          <value>Common Stock</value>
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      <transactionDate>
          <value>2003-07-08</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-07-08</value>
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      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
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      <transactionTimeliness>
      <value />
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      <transactionAmounts>
          <transactionShares>
              <value>19500.00</value>
          </transactionShares>
          <transactionValue>
              <value>56.68</value>
          </transactionValue>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
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      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>6826926.00</value>
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      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>As Trustee</value>
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeSecurity>
   <nonDerivativeSecurity>
      <securityTitle>
          <value>Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-07-08</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-07-08</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>5200.00</value>
          </transactionShares>
          <transactionValue>
              <value>56.69</value>
          </transactionValue>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>6821726.00</value>
          </sharesOwnedFollowingTransaction>
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      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>As Trustee</value>
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeSecurity>
   <nonDerivativeSecurity>
      <securityTitle>
          <value>Common Stock</value>
      </securityTitle>
      <transactionDate>
          <value>2003-07-08</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-07-08</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>27500.00</value>
          </transactionShares>
          <transactionValue>
              <value>56.70</value>
          </transactionValue>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>6794226.00</value>
              <footnoteId id="F1" />
              <footnoteId id="F2" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>As Trustee</value>
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeSecurity>
<footnotes>
   <footnote id="F1">The reporting person also reports a) 11,941,279 shares held directly b) 1,680,506,739 shares held indirectly by limited partnership (The reporting person is a general partner of Walton Enterprises, L.P., the limited partnership that owns the reported securities held indirectly by limited partnership.  The reporting person disclaims beneficial ownership of the reported securities held indirectly by limited partnership except to the extent of his pecuniary interests therein.) c) 224,800 shares held by sp</footnote>
   <footnote id="F2">The reporting person disclaims beneficial ownership of the reported securities.</footnote>
</footnotes>
    <ownerSignature>
       <signatureName>John T. Walton</signatureName>
       <signatureDate>2003-07-08</signatureDate>
    </ownerSignature>
    <ownerSignature>
       <signatureName>John T. Walton</signatureName>
       <signatureDate>2003-07-08</signatureDate>
    </ownerSignature>
</ownershipDocument>

