<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>3</documentType><periodOfReport>2003-12-11</periodOfReport><noSecuritiesOwned>0</noSecuritiesOwned><issuer><issuerCik>0001070985</issuerCik><issuerName>CORRECTIONS CORP OF AMERICA</issuerName>        <issuerTradingSymbol>CXW</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001012804</rptOwnerCik><rptOwnerName>ALVARADO DONNA M</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>P.O. BOX 266</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>GRANVILLE</rptOwnerCity><rptOwnerState>OH</rptOwnerState><rptOwnerZipCode>43023</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeHolding><securityTitle><value>Common Stock</value></securityTitle><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeHolding></nonDerivativeTable><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>Todd Mullenger</signatureName><signatureDate>2003-12-15</signatureDate></ownerSignature></ownershipDocument>

