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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-02-24</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001356104</issuerCik>
        <issuerName>Mellanox Technologies, Ltd.</issuerName>
        <issuerTradingSymbol>MLNX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001388943</rptOwnerCik>
            <rptOwnerName>Ashuri Roni</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MELLANOX TECHNOLOGIES, LTD.</rptOwnerStreet1>
            <rptOwnerStreet2>HAKIDMA 26, OFER INDUSTRIAL PARK</rptOwnerStreet2>
            <rptOwnerCity>YOKNEAM</rptOwnerCity>
            <rptOwnerState>L3</rptOwnerState>
            <rptOwnerZipCode>2069200</rptOwnerZipCode>
            <rptOwnerStateDescription>ISRAEL</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Sr. VP of Engineering</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2015-02-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>15750</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>230491</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Restricted Share Units (&quot;RSUs&quot;). The Reporting Person is entitled to receive one (1) Ordinary Share for each one (1) RSU upon vesting.</footnote>
        <footnote id="F2">RSUs shall vest at a rate of 12/48th of the original number of shares on May 1, 2016, and thereafter at a rate of 3/48th of the original number of shares on the first day of each quarterly period of August, November, February and May commencing on August 1, 2016, with the last 3/48th of the original number of shares vesting on May 1, 2019 so long as Reporting Person remains an officer or employee of the Issuer.</footnote>
        <footnote id="F3">Includes 36,281 unvested RSUs.</footnote>
        <footnote id="F4">Includes 118 shares acquired under the Issuer's Employee Share Purchase Plan on February 27, 2015.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Cheryl Ganapol, as Attorney-in-Fact for Roni Ashuri</signatureName>
        <signatureDate>2015-03-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
