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    <periodOfReport>2021-03-01</periodOfReport>

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

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            <rptOwnerName>Soto Alexandra</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>
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            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Exec Human Capital &amp; Workplace</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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    <footnotes>
        <footnote id="F1">Shares of Class A Common Stock were acquired upon the vesting of the relevant portion of prior grants of Restricted Stock Units
(&quot;RSUs&quot;), including certain RSUs that had been acquired pursuant to the dividend equivalent
reinvestment provisions of the underlying RSU awards.</footnote>
        <footnote id="F2">Represents shares of Class A Common Stock withheld by the Company to cover taxes arising from the vesting of RSUs referenced in Footnote (1) and the first sentence of Footnote (7).</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
the RSUs referenced in Footnote (1).</footnote>
        <footnote id="F4">Represents the New York Stock Exchange closing price of Class A Common Stock on the trading day immediately preceding the vesting date of the RSUs referenced in the first sentence of Footnote (7).</footnote>
        <footnote id="F5">Each RSU represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F6">Additional RSUs were acquired pursuant to the dividend equivalent reinvestment provisions of underlying RSU awards.</footnote>
        <footnote id="F7">Of these RSUs, 729 related to RSUs that vested on March 1, 2021 and, therefore, such RSUs vested on March 2, 2021. Of the remaining RSUs, 772 will vest on or around March 1, 2022, 293 will vest on or around March 1, 2023, and 124 will vest on or around March 1, 2024.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Alexandra Soto by Scott D. Hoffman under a P of A</signatureName>
        <signatureDate>2021-03-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
