<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-11-20</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000354950</issuerCik><issuerName>HOME DEPOT INC</issuerName>        <issuerTradingSymbol>hd</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001228077</rptOwnerCik><rptOwnerName>GRASSO RICHARD A</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>2455 PACES FERRY ROAD</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>ATLANTA</rptOwnerCity><rptOwnerState>GA</rptOwnerState><rptOwnerZipCode>30339</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Deferred Stock Units</value></securityTitle><conversionOrExercisePrice><footnoteId id="F1" /></conversionOrExercisePrice><transactionDate><value>2003-11-20</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>141.6030</value></transactionShares><transactionPricePerShare><value>35.3100</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F2" /></exerciseDate><expirationDate><footnoteId id="F2" /></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>141.6030</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>3349.7794</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">The Deferred Stock Units convert to shares of Common Stock on a one-for-one basis following a termination of service as described in the Nonemployee Director Deferred Stock Compensation Plan.</footnote><footnote id="F2">The Deferred Stock Units accrued under The Nonemployee Director Deferred Stock Compensation Plan and are to be settled in Common Stock following a termination of service as described in the plan.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Richard A. Grasso</signatureName><signatureDate>2003-11-20</signatureDate></ownerSignature></ownershipDocument>

