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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2020-12-02</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001829426</issuerCik>
        <issuerName>Far Peak Acquisition Corp</issuerName>
        <issuerTradingSymbol>FPAC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001834098</rptOwnerCik>
            <rptOwnerName>Far Peak LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FAR PEAK ACQUISITION CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>480 6TH AVE #342</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10011</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Class B ordinary shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A ordinary shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>9540000</value>
                    <footnoteId id="F2"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">As described in the issuer's registration statement on Form S-1 (File No. 333-250129) under the heading &quot;Description of Securities--Founder Shares&quot;, the Class B ordinary shares, par value $0.0001 per share, will automatically convert into Class A ordinary shares, par value $0.0001 per share, of the issuer at the time of the issuer's initial business combination, or earlier at the option of the holder, on a one-for-one basis, subject to adjustment for share splits, share capitalizations, reorganizations, recapitalizations and the like and have no expiration date.</footnote>
        <footnote id="F2">The Class B ordinary shares beneficially owned by the reporting person include up to 1,950,000 shares that the reporting person has agreed to sell to certain funds and investors affiliated with BlackRock, Inc. upon consummation of our initial business combination.</footnote>
        <footnote id="F3">This Form 3 is being filed by Far Peak LLC (the &quot;Sponsor&quot;). The Sponsor is controlled by Far Peak Holdings LLC (the &quot;Manager&quot;), its manager. Accordingly, all of the shares held by the Sponsor may be deemed to be beneficially held by the Manager.</footnote>
    </footnotes>

    <remarks>Exhibit List: Exhibit 24 - Power of Attorney</remarks>

    <ownerSignature>
        <signatureName>/s/ David W. Bonanno as attorney-in-fact</signatureName>
        <signatureDate>2020-12-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
