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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-11-04</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000098362</issuerCik>
        <issuerName>TIMKEN CO</issuerName>
        <issuerTradingSymbol>TKR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001507947</rptOwnerCik>
            <rptOwnerName>Kyle Richard G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4500 MT. PLEASANT ST. NW</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NORTH CANTON</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>44720</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2019-11-04</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>I</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>4760</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>53.07</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>401(k)</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">On June 26, 2018, the Company announced that effective January 1, 2019 the primary U.S. Company sponsored 401(k) plan would no longer allow contributions to be made to the employer stock fund to align with industry trends to remove investment in the employer's stock as an option in a company sponsored 401(k) plan.  All participants in this plan, including the named officer, are required to transfer remaining funds in the employer stock fund to other fund options by December 31, 2022.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Richard G. Kyle</signatureName>
        <signatureDate>2019-11-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0306
4
2019-11-04
0
0000098362
TIMKEN CO
TKR
0001507947
Kyle Richard G
4500 MT. PLEASANT ST. NW
NORTH CANTON
OH
44720
1
1
0
0
President and CEO
Common Stock
2019-11-04
4
I
0
4760
53.07
D
0
I
401(k)
On June 26, 2018, the Company announced that effective January 1, 2019 the primary U.S. Company sponsored 401(k) plan would no longer allow contributions to be made to the employer stock fund to align with industry trends to remove investment in the employer's stock as an option in a company sponsored 401(k) plan.  All participants in this plan, including the named officer, are required to transfer remaining funds in the employer stock fund to other fund options by December 31, 2022.
/s/ Richard G. Kyle
2019-11-05