<?xml version="1.0"?><ownershipDocument><schemaVersion>X0101</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-07-01</periodOfReport><issuer><issuerCik>0001033012</issuerCik><issuerName>FLAGSTAR BANCORP INC</issuerName>        <issuerTradingSymbol>(NYSE:FBC)</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001247767</rptOwnerCik><rptOwnerName>ELSEA RICHARD S</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>  </rptOwnerStreet1><rptOwnerStreet2>  </rptOwnerStreet2><rptOwnerCity>  </rptOwnerCity><rptOwnerState>  </rptOwnerState><rptOwnerZipCode>  </rptOwnerZipCode></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle></officerTitle><otherText></otherText></reportingOwnerRelationship></reportingOwner><nonDerivativeSecurity><securityTitle><value>Flagstar Bancorp, Inc. Common Stock</value></securityTitle><transactionDate><value>2003-07-01</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>S</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>2250</value></transactionShares><transactionValue><value>25.0422</value></transactionValue><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2250</value><footnoteId id="F1" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>By Marital Trust</value></natureOfOwnership></ownershipNature></nonDerivativeSecurity><footnotes><footnote id="F1">The reporting person is also the beneficial owner of 10,200 shares held indirectly by a deferred compensation trust.</footnote></footnotes><ownerSignature><signatureName>/s/ Richard S. Elsea</signatureName><signatureDate>2003-07-03</signatureDate></ownerSignature></ownershipDocument>

