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

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-06-01</periodOfReport>

    <issuer>
        <issuerCik>0001997652</issuerCik>
        <issuerName>Tamboran Resources Corp</issuerName>
        <issuerTradingSymbol>TBN</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001034316</rptOwnerCik>
            <rptOwnerName>SHEFFIELD SCOTT D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>true</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>SUITE 01, LEVEL 39, TOWER ONE,</rptOwnerStreet1>
            <rptOwnerStreet2>INT'L TOWERS, 100 BARANGAROO AVE.</rptOwnerStreet2>
            <rptOwnerCity>BARANGAROO</rptOwnerCity>
            <rptOwnerNonUSStateTerritory>AUSTRALIA</rptOwnerNonUSStateTerritory>
            <rptOwnerCountry>C3</rptOwnerCountry>
            <rptOwnerZipCode>NSW 2000</rptOwnerZipCode>
            <rptOwnerStateDescription>AUSTRALIA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>false</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>false</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>false</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-06-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2975</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>326961</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents an award of restricted stock units (&quot;RSUs&quot;), each of which represents a contingent right to receive one share of Common Stock. The RSUs will vest on the earlier of (i) June 1, 2027 and (ii) the date of the next annual shareholders' meeting occurring after the grant date, subject to the Reporting Person's continued service with the Issuer through such vesting date. The Reporting Person has deferred receiving the Common Stock.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Rohan Vardaro, Attorney-in-Fact</signatureName>
        <signatureDate>2026-06-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
