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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-01-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001838406</issuerCik>
        <issuerName>BKV Corp</issuerName>
        <issuerTradingSymbol>BKV</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002108413</rptOwnerCik>
            <rptOwnerName>Banpu Public Co Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1200 17TH STREET, SUITE 2100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DENVER</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001957014</rptOwnerCik>
            <rptOwnerName>BOG CO., LTD.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1200 17TH STREET, SUITE 2100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DENVER</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001957047</rptOwnerCik>
            <rptOwnerName>Banpu North America Corp.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1200 17TH STREET, SUITE 2100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DENVER</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002107374</rptOwnerCik>
            <rptOwnerName>Banpu Power Public Co Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1200 17TH STREET, SUITE 2100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DENVER</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002107690</rptOwnerCik>
            <rptOwnerName>Banpu Power US Corp</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1200 17TH STREET, SUITE 2100</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DENVER</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-01-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>5315390</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>69193004</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>63877614</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares of common stock, par value $0.01 per share (&quot;Common Stock&quot;), issued to Banpu Power US Corporation (&quot;BPPUS&quot;) as 50% of the closing consideration pursuant to that certain Membership Interest Purchase Agreement, dated as of October 29, 2025 (the &quot;Purchase Agreement&quot;), by and between BPPUS and BKV Corporation (the &quot;Issuer&quot;), in exchange for one-half of the limited liability company interests in BKV-BPP Power LLC held by BPPUS prior to the closing of the transactions contemplated by the Purchase Agreement. The number of shares of Common Stock issued to BPPUS was determined by dividing the amount equal to 50% of the purchase price under the Purchase Agreement by $21.6609, the volume-weighted average price of the Common Stock during the twenty (20) consecutive trading-day period ended October 28, 2025.</footnote>
        <footnote id="F2">BPPUS is a wholly owned subsidiary of Banpu Power Public Company Limited (&quot;BPP&quot;), which is a controlled subsidiary of Banpu Public Company Limited (&quot;BPCL&quot;). These shares are owned directly by BPPUS and indirectly by BPP and BPCL.</footnote>
        <footnote id="F3">Banpu North America Corporation (&quot;BNAC&quot;) is a wholly owned subsidiary of BOG Co., Ltd. (&quot;BOG&quot;), which is a wholly owned subsidiary of BPCL. These securities are owned directly by BNAC and indirectly by BOG and BPCL.</footnote>
    </footnotes>

    <remarks>The Reporting Persons herein may be deemed to be members of a &quot;group&quot; for purposes of the Securities Exchange Act of 1934, as amended. This filing shall not be deemed an admission that the Reporting Persons are beneficial owners of all securities covered by this filing for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose, and each Reporting Person disclaims beneficial ownership of these securities, except to the extent of such Reporting Person's pecuniary interest therein, if any. Pursuant to a stockholders' agreement between BNAC and the Issuer, for so long as BPCL beneficially owns, directly or indirectly, 10% or more of the Issuer's voting stock, BNAC will have the right to designate for nomination to the board of directors of the Issuer a number of individuals approximately proportionate to such beneficial ownership, subject to certain limitations set forth in such stockholders' agreement. Therefore, each of BNAC, BOG and BPCL may be deemed to be a director by deputization of the Issuer.</remarks>

    <ownerSignature>
        <signatureName>/s/ Kathleen Lenox, attorney-in-fact for Banpu Public Company Limited</signatureName>
        <signatureDate>2026-01-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Kathleen Lenox, attorney-in-fact for BOG Co., Ltd.</signatureName>
        <signatureDate>2026-01-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Kathleen Lenox, attorney-in-fact for Banpu North America Corporation</signatureName>
        <signatureDate>2026-01-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Kathleen Lenox, attorney-in-fact for Banpu Power Public Company Limited</signatureName>
        <signatureDate>2026-01-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Kathleen Lenox, attorney-in-fact for Banpu Power US Corporation</signatureName>
        <signatureDate>2026-01-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
