<?xml version="1.0"?>
<!-- - EDGAR Ease Plus 1.0                                   07/25/03  TT    -->
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
   <periodOfReport>2003-10-24</periodOfReport>
   <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000313364</issuerCik>
        <issuerName>MESA ROYALTY TRUST/TX</issuerName>
        <issuerTradingSymbol>MTR</issuerTradingSymbol>
   </issuer>
   <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000911382</rptOwnerCik>
            <rptOwnerName>ALPINE CAPITAL LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>201 MAIN ST STE 3100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>FORT WORTH</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>76102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
         <isDirector>0</isDirector>
         <isOfficer>0</isOfficer>
         <isTenPercentOwner>1</isTenPercentOwner>
         <isOther>0</isOther>
      </reportingOwnerRelationship>
   </reportingOwner>
   <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000911381</rptOwnerCik>
            <rptOwnerName>ALGENPAR INC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>201 MAIN ST STE 3100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>FORT WORTH</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>76102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
         <isDirector>0</isDirector>
         <isOfficer>0</isOfficer>
         <isTenPercentOwner>1</isTenPercentOwner>
         <isOther>0</isOther>
      </reportingOwnerRelationship>
   </reportingOwner>
   <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000911380</rptOwnerCik>
            <rptOwnerName>CRANDALL J TAYLOR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2775 SAND HILL RD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 220</rptOwnerStreet2>
            <rptOwnerCity>MENLO PARK</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
         <isDirector>0</isDirector>
         <isOfficer>0</isOfficer>
         <isTenPercentOwner>1</isTenPercentOwner>
         <isOther>0</isOther>
      </reportingOwnerRelationship>
   </reportingOwner>
   <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000911379</rptOwnerCik>
            <rptOwnerName>BRUCE ROBERT W III</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>201 MAIN STREET SUITE 2500</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>FORTWORTH</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>76102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
         <isDirector>0</isDirector>
         <isOfficer>0</isOfficer>
         <isTenPercentOwner>1</isTenPercentOwner>
         <isOther>0</isOther>
      </reportingOwnerRelationship>
   </reportingOwner>
 <nonDerivativeTable>
   <nonDerivativeTransaction>
      <securityTitle>
         <value>Units of Beneficial Interest</value>
      </securityTitle>
      <transactionDate>
         <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
         <transactionFormType>4</transactionFormType>
         <transactionCode>S</transactionCode>
         <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
         <transactionShares>
           <value>100</value>
         </transactionShares>
         <transactionPricePerShare>
           <value>52.95</value>
         </transactionPricePerShare>
         <transactionAcquiredDisposedCode>
           <value>D</value>
         </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
         <sharesOwnedFollowingTransaction>
           <value>669316</value>
         </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
         <directOrIndirectOwnership>
            <value>D</value>
            <footnoteId id="F1"/>
            <footnoteId id="F2"/>
         </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
         <value>Units of Beneficial Interest</value>
      </securityTitle>
      <transactionDate>
         <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
         <transactionFormType>4</transactionFormType>
         <transactionCode>S</transactionCode>
         <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
         <transactionShares>
           <value>1300</value>
         </transactionShares>
         <transactionPricePerShare>
           <value>52.78</value>
         </transactionPricePerShare>
         <transactionAcquiredDisposedCode>
           <value>D</value>
         </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
         <sharesOwnedFollowingTransaction>
           <value>668016</value>
         </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
         <directOrIndirectOwnership>
            <value>D</value>
            <footnoteId id="F1"/>
            <footnoteId id="F2"/>
         </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
         <value>Units of Beneficial Interest</value>
      </securityTitle>
      <transactionDate>
         <value>2003-10-27</value>
      </transactionDate>
      <transactionCoding>
         <transactionFormType>4</transactionFormType>
         <transactionCode>S</transactionCode>
         <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
         <transactionShares>
           <value>2600</value>
         </transactionShares>
         <transactionPricePerShare>
           <value>53.05</value>
         </transactionPricePerShare>
         <transactionAcquiredDisposedCode>
           <value>D</value>
         </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
         <sharesOwnedFollowingTransaction>
           <value>665416</value>
         </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
         <directOrIndirectOwnership>
            <value>D</value>
            <footnoteId id="F1"/>
            <footnoteId id="F2"/>
         </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
 </nonDerivativeTable>
   <footnotes>
      <footnote id="F1"> J. Taylor Crandall (&quot;Crandall&quot;) is the President and sole stockholder of Algenpar, Inc., a Texas corporation (&quot;Algenpar&quot;), which is one of two general partners of Alpine Capital, L.P., a Texas limited partnership (&quot;Alpine&quot;), which is the direct beneficial owner of certain of the securities reported herein. Robert W. Bruce III (&quot;Bruce&quot;) is the other general partner of Alpine.</footnote>

      <footnote id="F2"> Pursuant to Rule 16a-1(a)(2)(ii)(B) under the Securities Exchange Act of 1934, as amended (the &quot;Act&quot;), Crandall, Algenpar and Bruce are deemed to be beneficial owners of the shares beneficially owned by Alpine only to the extent of the greater of his or its respective direct or indirect interest in the profits or capital account of Alpine. Pursuant to Rule 16a-1(a)(4) under the Act, this filing shall not be deemed an admission that Bruce, Crandall or Algenpar is, for purposes of Section 16 or the Act or otherwise, the beneficial owner of any securities owned by Alpine in excess of such amount.</footnote>
   </footnotes>
   <ownerSignature>
      <signatureName>Robert W. Bruce III, Manager - Alpine Capital, L.P.</signatureName>
      <signatureDate>2003-10-28</signatureDate>
   </ownerSignature>
   <ownerSignature>
      <signatureName>J. Taylor Crandall, Algenpar, Inc.</signatureName>
      <signatureDate>2003-10-28</signatureDate>
   </ownerSignature>
   <ownerSignature>
      <signatureName>Robert W. Bruce III</signatureName>
      <signatureDate>2003-10-28</signatureDate>
   </ownerSignature>
   <ownerSignature>
      <signatureName>J. Taylor Crandall</signatureName>
      <signatureDate>2003-10-28</signatureDate>
   </ownerSignature>
</ownershipDocument>

