<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-09-09</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000354950</issuerCik><issuerName>HOME DEPOT INC</issuerName>        <issuerTradingSymbol>hd</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001188363</rptOwnerCik><rptOwnerName>GONZALEZ CLAUDIO X</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>JOSE LUIS LAGRANGE NO. 103 3ER. PISO</rptOwnerStreet1><rptOwnerStreet2>COLONIA LOS MORALES POLANCO</rptOwnerStreet2><rptOwnerCity>MEXICO, D.F.</rptOwnerCity><rptOwnerState></rptOwnerState><rptOwnerZipCode>11510</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>.05 Common Stock</value></securityTitle><transactionDate><value>2003-09-09</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>P</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>3200</value></transactionShares><transactionPricePerShare><value>32.01</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>35032</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeTransaction><securityTitle><value>.05 Common Stock</value></securityTitle><transactionDate><value>2003-09-09</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>P</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>1300</value></transactionShares><transactionPricePerShare><value>32.02</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>36332</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Jocelyn J. Hunter, Attorney-in-Fact</signatureName><signatureDate>2003-09-09</signatureDate></ownerSignature></ownershipDocument>

