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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-10-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001823767</issuerCik>
        <issuerName>Lux Health Tech Acquisition Corp.</issuerName>
        <issuerTradingSymbol>LUXA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001829620</rptOwnerCik>
            <rptOwnerName>Lux Encore Sponsor, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LUX HEALTH TECH ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>920 BROADWAY, 11TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10010</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001829994</rptOwnerCik>
            <rptOwnerName>Lux Encore Holdings, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LUX HEALTH ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>920 BROADWAY, 11TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10010</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001830001</rptOwnerCik>
            <rptOwnerName>Wolfe Josh</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LUX HEALTH ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>920 BROADWAY, 11TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10010</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001683771</rptOwnerCik>
            <rptOwnerName>Hebert Peter</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LUX HEALTH ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>920 BROADWAY, 11TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10010</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Warrants</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>11.50</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-10-29</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>5933333</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>1.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5933333</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5933333</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The warrants will become exercisable commencing on the later of 12 months from the closing of the Issuer's initial public offering or 30 days after the completion of the Issuer's initial business combination, and will expire five years after the completion of the Issuer's initial business combination or earlier upon redemption or liquidation.</footnote>
        <footnote id="F2">Lux Encore Sponsor, LP  (&quot;Sponsor&quot;) is the record holder of the warrants reported herein. Lux Encore Holdings, LLC (&quot;Lux GP&quot;) is the general partner of Sponsor. Josh Wolfe and Peter Hebert are the managing members of Lux GP. As such, Lux GP and each of Messers. Wolfe and Hebert may be deemed to share beneficial ownership of the warrants held directly by Sponsor. Lux GP and Messers. Wolfe and Hebert disclaim any beneficial ownership of such shares other than to the extent of their pecuniary interest therein, if any.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Lux Encore Sponsor, LP, By: Lux Encore Holdings, LLC, its general partner, By: /s/ Segolene Scarborough, Attorney-in-Fact for Peter Hebert, Managing Member and Josh Wolfe, Managing Member</signatureName>
        <signatureDate>2020-11-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Lux Encore Holdings, LLC, By: /s/ Segolene Scarborough, Attorney-in-Fact for Peter Hebert, Managing Member and Josh Wolfe, Managing Member</signatureName>
        <signatureDate>2020-11-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Segolene Scarborough, Attorney-in-Fact for Josh Wolfe</signatureName>
        <signatureDate>2020-11-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Segolene Scarborough, Attorney-in-Fact for Peter Hebert</signatureName>
        <signatureDate>2020-11-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
