<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-12-19</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0001263813</issuerCik><issuerName>UNITED NATIONAL GROUP LTD</issuerName>        <issuerTradingSymbol>UNGL</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001273218</rptOwnerCik><rptOwnerName>BALL III RUSSELL C</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>555 CROTON ROAD, SUITE 300</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>KING OF PRUSSIA</rptOwnerCity><rptOwnerState>PA</rptOwnerState><rptOwnerZipCode>19406</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>1</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Class A Common Shares</value></securityTitle><transactionDate><value>2003-12-19</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>J</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F1" /></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>325019.0000</value></transactionShares><transactionPricePerShare><value>17.0000</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>2487569.0000</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>By Trusts</value></natureOfOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><derivativeTable><derivativeTransaction><securityTitle><value>Series A Preferred Shares</value></securityTitle><conversionOrExercisePrice><footnoteId id="F2" /></conversionOrExercisePrice><transactionDate><value>2003-12-19</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>J</transactionCode><equitySwapInvolved>0</equitySwapInvolved><footnoteId id="F1" /></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>3027568.0000</value></transactionShares><transactionPricePerShare><value>11.8250</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2003-09-05</value></exerciseDate><expirationDate><footnoteId id="F3" /></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>Class A Common Shares</value><footnoteId id="F2" /></underlyingSecurityTitle><underlyingSecurityShares><value>3027568.0000</value></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>0</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>I</value></directOrIndirectOwnership><natureOfOwnership><value>By Trusts</value></natureOfOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">United National Group, Ltd. redeemed the Series A Preferred Shares at a price of $11.825 per share.  Of this redemption price, $10.00 per share was paid in cash, and the remainder of $1.825 per share was paid in Class A Common Shares valued at $17.00 per share.</footnote><footnote id="F2">The Series A Preferred Shares were convertible on a one-for-one basis into Class B Common Shares, which, in turn, were convertible on a one-for-one basis into Class A Common Shares.</footnote><footnote id="F3">The Series A Preferred Shares were convertible into Class B Common Shares on September 5, 2005.  The Class B Common Shares did not have an expiration date.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Russell C. Ball, III</signatureName><signatureDate>2003-12-19</signatureDate></ownerSignature></ownershipDocument>

