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    <schemaVersion>X0306</schemaVersion>

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    <periodOfReport>2020-02-28</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001311370</issuerCik>
        <issuerName>Lazard Ltd</issuerName>
        <issuerTradingSymbol>LAZ</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001450474</rptOwnerCik>
            <rptOwnerName>Stern Alexander F.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LAZARD LTD</rptOwnerStreet1>
            <rptOwnerStreet2>30 ROCKEFELLER PLAZA</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10112</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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        <derivativeTransaction>
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                <value>2020-03-02</value>
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                    <value>137848</value>
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    <footnotes>
        <footnote id="F1">Shares of Class A Common Stock were acquired upon the vesting of a prior grant of Performance-based Restricted Stock Units (&quot;PRSUs&quot;) awarded with respect to compensation for 2016, including certain Restricted Stock Units (&quot;RSUs&quot;) that had been acquired pursuant to the dividend equivalent reinvestment provisions of the underlying PRSU award. The grant was previously reflected in the Company's proxy statements.</footnote>
        <footnote id="F2">Represents shares of Class A Common Stock sold to the Company to cover estimated taxes arising from the vesting of PRSUs and RSUs.</footnote>
        <footnote id="F3">Represents the New York Stock Exchange closing price of Class A Common Stock on the trading day immediately preceding the vesting date of PRSUs and RSUs referenced in Footnote (1).</footnote>
        <footnote id="F4">Represents shares of Class A Common Stock sold to the Company.</footnote>
        <footnote id="F5">Represents the New York Stock Exchange closing price of Class A Common Stock on the trading day immediately preceding the transaction date.</footnote>
        <footnote id="F6">Amount excludes 31,010 Performance-based Restricted Participation Units directly or indirectly owned by the reporting person.</footnote>
        <footnote id="F7">Additional RSUs were acquired pursuant to the dividend equivalent reinvestment provisions of underlying PRSU awards.</footnote>
        <footnote id="F8">Each RSU represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F9">Of these RSUs, 2,072 vested on or around March 2, 2020 and 1,158 will vest on or around March 1, 2021.</footnote>
        <footnote id="F10">Each PRSU (the performance conditions of which have been satisfied) represents a contingent right to receive one share of Class A Common Stock.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Alexander F. Stern by Scott D. Hoffman under a P of A</signatureName>
        <signatureDate>2020-03-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
