<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-08-13</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000814547</issuerCik><issuerName>FAIR ISAAC CORP</issuerName>        <issuerTradingSymbol>FIC</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001205409</rptOwnerCik><rptOwnerName>CHRISTIANSON TONY</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>200 SMITH RANCH ROAD</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>SAN RAFAEL</rptOwnerCity><rptOwnerState>CA</rptOwnerState><rptOwnerZipCode>94903</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>2003-08-13</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>3000</value></transactionShares><transactionPricePerShare><value>19.2778</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>3000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>by partnership</value><footnoteId id="F1" /></natureOfOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><derivativeTable><derivativeTransaction><securityTitle><value>Non-Qualified Stock Option (right to buy)</value></securityTitle><conversionOrExercisePrice><value>19.2778</value></conversionOrExercisePrice><transactionDate><value>2003-08-13</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>M</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>3000</value></transactionShares><transactionPricePerShare><value>0</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>1999-11-19</value><footnoteId id="F2" /></exerciseDate><expirationDate><value>2009-11-19</value></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>3000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>19500</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">The reporting person is a general partner of Adam Smith Growth Partners, LP.</footnote><footnote id="F2">This option vests in five equal annual installments commencing on this date.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Tony J. Christianson</signatureName><signatureDate>2003-08-14</signatureDate></ownerSignature></ownershipDocument>

