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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2005-12-31</periodOfReport>

    <dateOfOriginalSubmission>2006-01-04</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001172358</issuerCik>
        <issuerName>DORCHESTER MINERALS LP</issuerName>
        <issuerTradingSymbol>DMLP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001199321</rptOwnerCik>
            <rptOwnerName>PEAK PRESTON A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3838 OAK LAWN AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 300</rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75219</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

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            <securityTitle>
                <value>Common Units</value>
            </securityTitle>
            <transactionDate>
                <value>2005-12-31</value>
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            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>142396</value>
                </transactionShares>
                <transactionPricePerShare>
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                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
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            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
                <natureOfOwnership>
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                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <transactionShares>
                    <value>1075458</value>
                </transactionShares>
                <transactionPricePerShare>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
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                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
                <natureOfOwnership>
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                </natureOfOwnership>
            </ownershipNature>
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        <nonDerivativeTransaction>
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            <transactionDate>
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                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <transactionShares>
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                </transactionShares>
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                <transactionAcquiredDisposedCode>
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                </transactionAcquiredDisposedCode>
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                    <value>358554</value>
                </sharesOwnedFollowingTransaction>
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                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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                <transactionShares>
                    <value>12179</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F5"/>
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                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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                <transactionShares>
                    <value>488711</value>
                </transactionShares>
                <transactionPricePerShare>
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                    <value>A</value>
                </transactionAcquiredDisposedCode>
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                <sharesOwnedFollowingTransaction>
                    <value>488711</value>
                </sharesOwnedFollowingTransaction>
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                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>.</value>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Units</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>358486</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>.</value>
                    <footnoteId id="F7"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Units</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1000</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>.</value>
                    <footnoteId id="F8"/>
                </natureOfOwnership>
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        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">4MP Family Limited Partnership was dissolved effective 12/31/05 and its units were distributed to its partners. 4MP Corp. was
the general partner of 4MP Family Limited Partnership. The Peak Revocable Living Trust is the shareholder of 4MP Corp.
Mr. Peak is the trustee of the Peak Revocable Living Trust and Mr. Peak and his spouse are the beneficiaries.</footnote>
        <footnote id="F2">4MP Children's Limited Partnership was dissolved effective 12/31/05 and its units were distributed to its partners. 4MP Corp.
was the general partner of 4MP Children's Limited Partnership. The Peak Revocable Living Trust is the shareholder of 4MP
Corp. Mr. Peak is the trustee of the Peak Revocable Living Trust and Mr. Peak and his spouse are the beneficiaries.</footnote>
        <footnote id="F3">The P A Peak Trust for Mary Lee Peak received a distribution of units from the 4MP Children's Limited Partnership. Mr. Peak
disclaims beneficial ownership of those common units owned by the P. A. Peak FBO Mary Lee Peak Trust established for
the benefit of his daugher. Mr. Peak is the trustee of the trust.</footnote>
        <footnote id="F4">The Preston A Peak Trust for Margaret J. Peak received a distribution of units from the 4MP Children's Limited Partnership.
Mr.
Peak disclaims beneficial ownership of those common units owned by the Preston A. Peak FBO Margaret J. Peak Trust
established for the benefit of his daughter. Mr. Peak is the trustee of the trust.</footnote>
        <footnote id="F5">4MP Corp received a distribution of units from the 4MP Family Limited Partnership and the 4MP Children's Limited Partnership.
Mr. Peak and his spouse are the beneficiaries of the Peak Revocable Living Trust and Mr. Peak is the trustee of the trust.
The trust is the shareholder of 4MP Corp.</footnote>
        <footnote id="F6">The Peak Revocable Living Trust received a distribution of units from the 4MP Family Limited Partnership and the 4MP
Children's Limited Partnership. Mr. Peak and his spouse are the beneficiaries of the Peak Revocable Living Trust and Mr.
Peak is the trustee of the trust.</footnote>
        <footnote id="F7">Mr. Peak disclaims beneficial ownership of those common units owned by the Preston A. Peak FBO Martha Ann Peak Trust
established for the benefit of his daughter. Mr. Peak is the trustee of the trust.</footnote>
        <footnote id="F8">The common units are held by Hugoton Nominee, Inc. Mr. Peak and his spouse are the beneficiaries of the Peak Revocable
Living Trust, which is the shareholder of Hugoton Nominee, Inc.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Preston A. Peak</signatureName>
        <signatureDate>2006-03-14</signatureDate>
    </ownerSignature>
</ownershipDocument>
