<?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>0001390563</rptOwnerCik>
            <rptOwnerName>Farley Thomas W</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>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CEO, President and Chairman</officerTitle>
        </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>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </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">Far Peak LLC (the &quot;Sponsor&quot;) is beneficial owner of 9,450,000 shares of Class B ordinary shares. The Class B ordinary shares beneficially owned by Sponsor include up to 1,950,000 shares that the Sponsor 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 Thomas W. Farley (the &quot;Reporting Person&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, and the Reporting Person is the manager of the Manager, and accordingly all of the shares deemed to be beneficially held by the Manager may be deemed to be beneficially held by the Reporting Person.</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>
