<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-09-09</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000109198</issuerCik><issuerName>TJX COMPANIES INC /DE/</issuerName>        <issuerTradingSymbol>TJX</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001065739</rptOwnerCik><rptOwnerName>BRANDON DAVID</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>DOMINO'S PIZZA</rptOwnerStreet1><rptOwnerStreet2>30 FRANK LLOYD WRIGHT DRIVE</rptOwnerStreet2><rptOwnerCity>ANN ARBOR</rptOwnerCity><rptOwnerState>MI</rptOwnerState><rptOwnerZipCode>48106</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Option</value><footnoteId id="F1" /></securityTitle><conversionOrExercisePrice><value>20.14</value></conversionOrExercisePrice><transactionDate><value>2003-09-09</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>J</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F2" /></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>12000</value></transactionShares><transactionPricePerShare><value>20.14</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2004-09-09</value></exerciseDate><expirationDate><value>2013-09-09</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>12000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>12000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">Right to buy.  Includes right to have shares withheld to satisfy tax withholding obligations upon exercise.</footnote><footnote id="F2">Granted pursuant to the 1986 Stock Incentive Plan and exercisable September 9, 2004, the first anniversary date of the grant.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>Mary B. Reynolds, by Power of Attorney dated February 11, 2002, attached hereto as Exhibit 24</signatureName><signatureDate>2003-09-10</signatureDate></ownerSignature></ownershipDocument>

