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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2020-10-02</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001810739</issuerCik>
        <issuerName>Radius Global Infrastructure, Inc.</issuerName>
        <issuerTradingSymbol>RADI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001416192</rptOwnerCik>
            <rptOwnerName>Gottesman Noam</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RADIUS GLOBAL INFRASTRUCTURE, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3 BALA PLAZA EAST, SUITE 502</rptOwnerStreet2>
            <rptOwnerCity>BALA CYNWYD</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1200000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By TOMS Acquisition II LLC</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Series A Founder Preferred Stock</value>
                <footnoteId id="F2"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>800000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Digital Landscape Partners Holding LLC</value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Warrants to acquire Class A Common Stock</value>
                <footnoteId id="F4"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>11.50</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2023-02-10</value>
                <footnoteId id="F5"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>666666</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By TOMS Acquisition II LLC</value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Reflects shares of Class A Common Stock, par value per share $0.0001, of Radius Global Infrastructure, Inc. (the &quot;Company&quot;) (such shares, &quot;Class A Shares&quot;) held by TOMS Acquisition II LLC.  Mr. Gottesman is the managing member and majority owner of TOMS Acquisition II LLC.</footnote>
        <footnote id="F2">Reflects 50% of the 1,600,000 shares of Series A Founder Preferred Stock, par value per share $0.0001, of the Company (&quot;Series A Founder Preferred Stock&quot;) held by Digital Landscape Partners Holding LLC, which are convertible on a one-to-one basis into Class A Shares. Additionally, Series A Founder Preferred Stock shall automatically convert to Class A Shares on a one-for-one basis on December 31, 2027.  TOMS Acquisition II LLC is the holder of 50% of the voting interests and 47.15% of the economic interests in Digital Landscape Partners Holding LLC. The reporting person disclaims beneficial ownership over such shares, except to the extent of his pecuniary interest therein, if any.</footnote>
        <footnote id="F3">Immediately exercisable or convertible.</footnote>
        <footnote id="F4">Reflects 2,000,000 Warrants to acquire Class A Shares held by TOMS Acquisition II LLC.</footnote>
        <footnote id="F5">Expire on the earlier to occur of (i) 5:00 p.m. on February 10, 2023 and (ii) in the event that, prior to such date, an acquisition offer satisfying certain criteria is made to all holders of Class A Shares, such earlier date as determined pursuant to the Amended and Restated Warrant Instrument governing the Warrants (or, in each case, if such day is not a trading day, the trading day immediately following such day).</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Noam Gottesman</signatureName>
        <signatureDate>2020-10-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
