<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-12-22</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0000807884</issuerCik><issuerName>CASH AMERICA INTERNATIONAL INC</issuerName>        <issuerTradingSymbol>PWN</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001186889</rptOwnerCik><rptOwnerName>HORNE WILLIAM R</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>1600 W. 7TH STREET</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>FORT WORTH</rptOwnerCity><rptOwnerState>TX</rptOwnerState><rptOwnerZipCode>76102</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>Exec. VP-Information Tech.</officerTitle></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>Restricted Stock Units</value><footnoteId id="F1" /></securityTitle><conversionOrExercisePrice><footnoteId id="F2" /></conversionOrExercisePrice><transactionDate><value>2003-12-22</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>24200.0000</value></transactionShares><transactionPricePerShare><footnoteId id="F2" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><footnoteId id="F1" /></exerciseDate><expirationDate><footnoteId id="F1" /></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>24200.0000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>78448.0000</value><footnoteId id="F3" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">These Restricted Stock Units vest in equal annual increments from the first anniversary of the grant date until the Reporting Person's 65th birthday and convert into the vested number of shares of Common Stock upon the Reporting Person's termination of employment for any reason other than for cause.  Unvested shares are forfeited upon termination of employment, other than for cause, and all options are forfeited upon termination for cause.</footnote><footnote id="F2">Not applicable.</footnote><footnote id="F3">Includes 54,248 stock options for the right to buy Common Stock.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/  William R. Horne</signatureName><signatureDate>2003-01-07</signatureDate></ownerSignature></ownershipDocument>

