<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-10-27</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0001082923</issuerCik><issuerName>STAMPS COM INC</issuerName>        <issuerTradingSymbol>STMP</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001254792</rptOwnerCik><rptOwnerName>OGG CRAIG L</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>3420 OCEAN PARK BLVD.</rptOwnerStreet1><rptOwnerStreet2>SUITE 1040</rptOwnerStreet2><rptOwnerCity>SANTA MONICA</rptOwnerCity><rptOwnerState>CA</rptOwnerState><rptOwnerZipCode>90405</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Vice President, R&amp;D</officerTitle></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Employee Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>6.27</value></conversionOrExercisePrice><transactionDate><value>2003-10-27</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>20000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2003-11-27</value><footnoteId id="F1" /></exerciseDate><expirationDate><value>2013-10-27</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>20000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>330858</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">This stock option vests over three years in equal monthly increments beginning one month from the grant date.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Matthew A. Lipson, by Power of Attorney for Craig L. Ogg</signatureName><signatureDate>2003-10-29</signatureDate></ownerSignature></ownershipDocument>

