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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-06-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001735858</issuerCik>
        <issuerName>Far Point Acquisition Corp</issuerName>
        <issuerTradingSymbol>FPAC.U</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001040273</rptOwnerCik>
            <rptOwnerName>Third Point LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>390 PARK AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001300345</rptOwnerCik>
            <rptOwnerName>Loeb Daniel S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>390 PARK AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001739799</rptOwnerCik>
            <rptOwnerName>Far Point LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>390 PARK AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001743247</rptOwnerCik>
            <rptOwnerName>Cloudbreak Aggregator LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>390 PARK AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </securityTitle>
            <transactionDate>
                <value>2018-06-14</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F3"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4000000</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents Class A Common Stock underlying the 4,000,000 Units purchased in connection with the issuer's initial public offering. Each Unit consists of one share of Class A Common Stock and one-third of one warrant, each whole warrant entitling the holder to purchase one share of Class A Common Stock at $11.50 per share. The Units are held on behalf of investment funds managed or advised by Third Point LLC (&quot;Third Point&quot;).  Does not include 15,692,500 shares of Class B common stock previously reported on a Form 3, which shares will automatically convert into shares of Class A common stock 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 stock splits, stock dividends, reorganizations, recapitalizations and the like, and certain anti-dilution rights.</footnote>
        <footnote id="F2">(continued from footnote 1) The warrants will become exercisable on the later of 30 days after the completion of the issuer's initial business combination or 12 months from the closing of the initial public offering.  The warrants will expire five years after the completion of the issuer's initial business combination or earlier upon redemption or liquidation.</footnote>
        <footnote id="F3">Purchased in connection with the issuer's initial public offering.</footnote>
        <footnote id="F4">The securities disclosed in this Form 4 are held on behalf of certain funds (the &quot;Funds&quot;) managed or advised by Third Point.  Daniel S. Loeb is the Chief Executive Officer of Third Point. By reason of the provisions of Rule 16a-1 under the Securities Exchange Act of 1934, as amended, Third Point and Mr. Loeb may be deemed to be the beneficial owners of the securities held on behalf of the Funds.  Third Point and Mr. Loeb hereby disclaim beneficial ownership of all securities, except to the extent of any indirect pecuniary interest therein. Far Point LLC and its managing member, Cloudbreak Aggregator LP, do not have any voting or dispositive power over the securities disclosed in this Form 4 and disclaim beneficial ownership of such securities.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ William Song, as Attorney-in-Fact for Daniel S. Loeb, Chief Executive Officer of Third Point LLC</signatureName>
        <signatureDate>2018-06-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ William Song, as Attorney-in-Fact for Daniel S. Loeb</signatureName>
        <signatureDate>2018-06-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ William Song, as Attorney-in-Fact for Daniel S. Loeb, Chief Executive Officer of Third Point LLC, the investment manager of Cloudbreak Aggregator LP</signatureName>
        <signatureDate>2018-06-18</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ William Song, as Attorney-in-Fact for Daniel S. Loeb, Chief Executive Officer of Third Point LLC, the investment manager of Cloudbreak Aggregator LP, the managing member of Far Point LLC</signatureName>
        <signatureDate>2018-06-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
