<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-09-16</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000914713</issuerCik><issuerName>MILLS CORP</issuerName>        <issuerTradingSymbol>MLS</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001247762</rptOwnerCik><rptOwnerName>NICK HARRY H</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>1300 WILSON BLVD., #400</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>ARLINGTON</rptOwnerCity><rptOwnerState>VA</rptOwnerState><rptOwnerZipCode>22209</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>2003-09-16</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>G</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>300</value></transactionShares><transactionPricePerShare><footnoteId id="F1" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>141026</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction><nonDerivativeHolding><securityTitle><value>Common Stock</value></securityTitle><postTransactionAmounts><sharesOwnedFollowingTransaction><value>1800</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>See footnote</value><footnoteId id="F2" /></natureOfOwnership></ownershipNature></nonDerivativeHolding></nonDerivativeTable><footnotes><footnote id="F1">No consideration was paid or received in connection with this gift transaction.</footnote><footnote id="F2">These shares of common stock are held indirectly by the reporting person through the Nick Family Trust. </footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Harry H. Nick</signatureName><signatureDate>2003-09-17</signatureDate></ownerSignature></ownershipDocument>

