<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-09-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001263813</issuerCik>
        <issuerName>UNITED NATIONAL GROUP LTD</issuerName>
        <issuerTradingSymbol>UNGL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001099187</rptOwnerCik>
            <rptOwnerName>FOX SAUL A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FOX PAINE &amp; COMPANY, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>950 TOWER LANE, SUITE 1150</rptOwnerStreet2>
            <rptOwnerCity>FOSTER CITY</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94404-2127</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Units</value>
                <footnoteId id="F3"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-09-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>861</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>14.52</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>861</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2715</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Does not include an aggregate of 14,310,226 Class A Common Shares beneficially owned by U.N. Holdings (Cayman), Ltd. (&quot;Holdings&quot;) and the Co-Investment Funds.  A majority of the outstanding share capital of Holdings is held by Fox Paine Capital Fund II International, L.P. (&quot;Fund II&quot;). The sole managing general partner of Fund II is Fox Paine Capital International GP, L.P. (&quot;GPLP&quot;). The sole general partner of GPLP is Fox Paine International GP, Ltd. (&quot;GPLTD&quot;), the sole shareholder of which is Fox Paine Capital International GP, L.P.  As a result, GPLTD may be deemed to control the Class A Common Shares held by Holdings and the Co-Investment Funds.  Mr. Fox is a shareholder and a director of GPLTD. Mr. Fox disclaims beneficial ownership of all Class A Common Shares benefically owned by GPLTD, except to the extent of his indirect pecuniary ownership in such shares.</footnote>
        <footnote id="F2">The Co-Investment Funds include the following entities: U.N. Co-Investment Fund I (Cayman), L.P., U.N. Co-Investment Fund II (Cayman), L.P., U.N. Co-Investment Fund III (Cayman), L.P., U.N. Co-Investment Fund IV (Cayman), L.P., U.N. Co-Investment Fund V (Cayman), L.P., U.N. Co-Investment Fund VI (Cayman), L.P., U.N. Co-Investment Fund VII (Cayman), L.P., U.N. Co-Investment Fund VIII (Cayman), L.P. and U.N. Co-Investment Fund IX (Cayman), L.P.</footnote>
        <footnote id="F3">Represents units accrued under the Issuer's deferred compensation plan for non-employee directors.</footnote>
        <footnote id="F4">Units are payable in cash upon the reporting person's termination of service as a director.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: Lynne Gerber-Saionz, Attorney-in-fact</signatureName>
        <signatureDate>2004-10-04</signatureDate>
    </ownerSignature>
</ownershipDocument>

