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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2006-05-02</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001352713</issuerCik>
        <issuerName>RAM Holdings Ltd.</issuerName>
        <issuerTradingSymbol>RAMR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001335285</rptOwnerCik>
            <rptOwnerName>Tynan Steven J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>RAM RE HOUSE</rptOwnerStreet1>
            <rptOwnerStreet2>46 REID STREET</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>HM12</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares - par value $0.10 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2006-05-02</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>7000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <valueOwnedFollowingTransaction>
                    <value>2460048</value>
                    <footnoteId id="F1"/>
                </valueOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Liberty Street Partners L.P.</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Seven thousand common shares were acquired on May 2, 2006 by Liberty Street Partners, L.P. Two million, four hundred fifty
three thousand, forty eight common shares were acquired by High Ridge Capital Partners Limited Partnership as previously
disclosed on Form 3. Mr. Tynan is a Managing Member of High Ridge Capital LLC, an entity which is the general partner of HRC
General Partner Limited Partnership, which entity is the general partner of High Ridge Capital Partners Limited Partnership.
 Mr. Tynan disclaims beneficial ownership of any of the common shares owned by High Ridge Capital Partners Limited
 Partnership other than to the extent of his pecuniary interest therein, and this report shall not be deemed an admission
 that the reporting person is the beneficial owner of such securities for purposes of Section 16 or for any other purpose.</footnote>
        <footnote id="F2">Mr. Tynan the President of Liberty Street Corp, an entity which is the general partner of Liberty Street Partners L.P.  Mr.
Tynan disclaims beneficial ownership of any of the common shares owned by Liberty Street Partners L.P. other than to the
 extent of his pecuniary interest therein, and this report shall not be deemed an admission that the reporting person is the
 beneficial owner of such securities for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Steven J. Tynan</signatureName>
        <signatureDate>2006-05-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
