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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2013-03-13</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001418862</issuerCik>
        <issuerName>Kior Inc</issuerName>
        <issuerTradingSymbol>KIOR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001523900</rptOwnerCik>
            <rptOwnerName>BIOeCON B.V.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HOGEBRINKERWEG 15 E</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOEVELAKEN</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode>3871 KM</rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001525002</rptOwnerCik>
            <rptOwnerName>BIOeCON Holding B.V.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>HOGEBRINKERWEG 15E</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOEVLAKEN</rptOwnerCity>
            <rptOwnerState>P7</rptOwnerState>
            <rptOwnerZipCode>00000</rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001524671</rptOwnerCik>
            <rptOwnerName>BIOeCON International Holding N.V.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>14 KAYA WFG (JOMBI) MENSING</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WILLEMSTAD</rptOwnerCity>
            <rptOwnerState>P8</rptOwnerState>
            <rptOwnerZipCode>0000000000</rptOwnerZipCode>
            <rptOwnerStateDescription>NETHERLANDS ANTILLES</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2013-03-13</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>15000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.03</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>985000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2013-03-14</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>15000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>970000</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">In addition to 970,000 shares of Class A Common Stock, BIOeCON B.V. also owns 5,353,576 shares of Class B Common Stock.  One share of Class B Common Stock is convertible into one share of Class A Common Stock at any time, at the option of the holder, and all shares of Class B Common Stock may be converted upon the affirmative vote of holders of at least a majority of the shares of Class B Common Stock outstanding. In addition, each share of Class B Common Stock will automatically convert into one share of Class A Common Stock upon any transfer, whether or not for value, subject to certain exceptions.</footnote>
    </footnotes>

    <remarks>The reporting persons are BIOeCON B.V. and BIOeCON Holding B.V., each a Dutch corporation with an address of Hogebrinkerweg 15 e, 3871 KM Hoevelaken, The Netherlands and BIOeCON International Holding N.V., a Curacao, Netherlands Antilles corporation, with an address of 14 Kaya W.F.G. (Jombi) Mensing, Curacao, Netherlands Antilles.  The securities reported are beneficially owned indirectly by BIOeCON Holding B.V. in its capacity as the controlling shareholder of BIOeCON B.V. and beneficially owned indirectly by BIOeCON Holding International Holding N.V. in its capacity as the controlling  shareholder of BIOeCON Holding B.V.   Paul O'Connor, a reporting person on prior Forms 4 filed by these reporting persons, has  voluntarily resigned as managing director of BIOeCON B.V. and therefore has been removed as a reporting person hereunder.

Each of the Reporting Owners identified in this statement disclaims beneficial ownership of the securities described in this statement, except to the extent of their individual respective pecuniary interest in such securities. The filing of this statement shall not be deemed an admission that any of the Reporting Owners identified in this statement are, for purposes of Section 16 of the Exchange Act or otherwise, the beneficial owner of any securities specified in this statement other than those directly beneficially owned by them.</remarks>

    <ownerSignature>
        <signatureName>BIOeCON  B.V., By: BIOeCON  Holding B.V., Managing Director, By: /s/ B. Bekkering and /s/ O.B. de Haseth</signatureName>
        <signatureDate>2013-03-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BIOeCON Holding B.V., By: BIOeCON International Holding N.V., Managing Director, By: /s/ B. Bekkering and /s/ O.B. de Haseth</signatureName>
        <signatureDate>2013-03-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BIOeCON International Holding N.V., By: Orangefield Trust (Caribbean) N.V., Managing Director, By: /s/ B. Bekkering and By: /s/ O.B. de Haseth, Managing Director</signatureName>
        <signatureDate>2013-03-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
