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        <issuerName>Lazard Ltd</issuerName>
        <issuerTradingSymbol>LAZ</issuerTradingSymbol>
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            <rptOwnerName>Stern Alexander F.</rptOwnerName>
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            <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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            <officerTitle>President</officerTitle>
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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 2017, 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 88,278 Performance-based Restricted Participation Units directly or indirectly owned by the reporting person.</footnote>
        <footnote id="F7">Each PRSU (the performance conditions of which have been satisfied) represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F8">Each RSU represents a contingent right to receive one share of Class A Common Stock.</footnote>
        <footnote id="F9">Additional RSUs were acquired pursuant to the dividend equivalent reinvestment provisions of underlying PRSUs and RSUs described in Footnote (1) above that were outstanding on the dividend record date and that vested on March 1, 2021. These RSUs vested on March 2, 2021.</footnote>
    </footnotes>

    <remarks></remarks>

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