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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>RAGONE DOMINICK</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LAZARD LTD</rptOwnerStreet1>
            <rptOwnerStreet2>30 ROCKEFELLER PLAZA</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10112</rptOwnerZipCode>
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            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
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            <officerTitle>Chief Accounting Officer</officerTitle>
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    <footnotes>
        <footnote id="F1">Shares of unrestricted Class A Common Stock were acquired upon the vesting of the relevant portion of prior grants of Restricted Stock Units (&quot;RSUs&quot;) and Restricted Class A Common Stock, 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 (9).</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 RSUs and Restricted Class A Common Stock 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 (9).</footnote>
        <footnote id="F5">The Restricted Class A Common Stock will vest in two tranches: approximately 33% will vest on or around March 1, 2022 and approximately 67% will vest on or around March 1, 2023.</footnote>
        <footnote id="F6">Additional shares of Restricted Class A Common Stock were acquired pursuant to the dividend equivalent reinvestment provisions of underlying restricted stock awards.</footnote>
        <footnote id="F7">Each RSU represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F8">Additional RSUs were acquired pursuant to the dividend equivalent reinvestment provisions of underlying RSU awards.</footnote>
        <footnote id="F9">Of these RSUs, 84 related to RSUs that vested on March 1, 2021 and, therefore, such RSUs vested on March 2, 2021. Of the remaining RSUs, 105 will vest on or around March 1, 2022, 97 will vest on or around March 1, 2023, and 61 will vest on or around March 1, 2024.</footnote>
    </footnotes>

    <remarks></remarks>

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