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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2019-11-06</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001777946</issuerCik>
        <issuerName>LGL Systems Acquisition Corp.</issuerName>
        <issuerTradingSymbol>DFNSU</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001233348</rptOwnerCik>
            <rptOwnerName>GABELLI MARC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LGL SYSTEMS ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>165 W. LIBERTY ST., SUITE 220</rptOwnerStreet2>
            <rptOwnerCity>RENO</rptOwnerCity>
            <rptOwnerState>NV</rptOwnerState>
            <rptOwnerZipCode>89501</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4312500</value>
                    <footnoteId id="F2"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LGL Systems Acquisition Holding Company, LLC</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Warrant</value>
                <footnoteId id="F4"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>11.50</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F6"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4750000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By LGL Systems Acquisition Holding Company, LLC</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The Class B Common Stock will automatically convert into Class A Common Stock at the time of the Issuer's initial business combination on a one-for-one basis, subject to adjustment. The Class B Common Stock has no expiration date.</footnote>
        <footnote id="F2">Includes up to 562,500 founder shares that may be forfeited if the underwriters in the Issuer's initial public offering do not exercise the over-allotment option in full.</footnote>
        <footnote id="F3">The shares and warrants are owned directly by LGL Systems Acquisition Holding Company, LLC (the &quot;Sponsor&quot;). LGL Systems Nevada Management Partners LLC is the managing member of the Sponsor. The reporting person is a manager of LGL Systems Nevada Management Partners LLC and will be one of five people to approve actions of the Sponsor. Each manager has one vote, and the approval of three of the five managers is required for approval of an action of the Sponsor. The reporting person disclaims beneficial ownership of the securities held by the Sponsor, except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F4">Includes Warrants which, prior to the effective date of the registration statement relating to the Issuer's initial public offering, the Sponsor irrevocably committed to purchase. Does not include up to 450,000 additional Warrants which the Sponsor irrevocably committed to purchase in the event the underwriters in the Issuer's initial public offering exercise the overallotment option in full.</footnote>
        <footnote id="F5">Each warrant will become exercisable on the later of 30 days after the completion of an initial business combination or November 6, 2020.</footnote>
        <footnote id="F6">Each warrant will expire five years after the completion of an initial business combination.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Marc Gabelli</signatureName>
        <signatureDate>2019-11-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
