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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2019-05-07</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000275880</issuerCik>
        <issuerName>PARSONS CORP</issuerName>
        <issuerTradingSymbol>PSN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001601188</rptOwnerCik>
            <rptOwnerName>Ball George L.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>PARSONS CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>5875 TRINITY PARKWAY #300</rptOwnerStreet2>
            <rptOwnerCity>CENTREVILLE</rptOwnerCity>
            <rptOwnerState>VA</rptOwnerState>
            <rptOwnerZipCode>20120</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>19371</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4264</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4264</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>68.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>34154</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F7"/>
            </exerciseDate>
            <expirationDate>
                <value>2020-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4616</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F8"/>
            </exerciseDate>
            <expirationDate>
                <value>2020-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4616</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>61.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F9"/>
            </exerciseDate>
            <expirationDate>
                <value>2020-03-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>35200</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Phantom Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>57.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F10"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F10"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>12500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Excess Benefit Plan Account</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.00</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F11"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F11"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <footnoteId id="F11"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Consists of shares of common stock beneficially owned by such person through Issuer's Employee Stock Ownership Plan (&quot;ESOP&quot;), rounded to the nearest whole share. Reporting Person shares voting and investment power with the ESOP with respect to such shares beneficially owned through the ESOP. For the avoidance of doubt, all of the share numbers and prices per share in this report do not reflect the stock dividend to be effected by Issuer in connection with the closing of its initial public offering.</footnote>
        <footnote id="F2">Represents an award granted in 2019 under the Issuer's Restricted Award Plan.  Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock.  The  award will vest in three equal installments on each of December 31, 2019, 2020 and 2021, subject to the Reporting Person's continued employment with Issuer on each such vesting date.  The award will be paid in cash, although the Issuer may elect to pay the award in the form of shares of Issuer's common stock. If paid in cash, the value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F3">Represents an award granted in 2019 under the Issuer's Long Term Growth Plan. Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock. The award will vest based on Issuer's performance during a three-year performance period ending December 31, 2021, subject to the Reporting Person's continued employment with Issuer on the payment date. The award will be paid in cash, although the Issuer may elect to pay the award in the form of shares of Issuer's common stock. If paid in cash, the value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F4">Represents an award granted in 2018 under the Issuer's Restricted Award Plan.   Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock.  The  award will vest on December 31, 2020, subject to the Reporting Person's continued employment with Issuer on such vesting date.  The award will be paid in cash. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F5">Represents an award granted in 2018 under the Issuer's Long Term Growth Plan. Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock.  The  award will vest based on Issuer's performance during a three-year performance period ending December 31, 2020, subject to the Reporting Person's continued employment with Issuer on the payment date.  The award will be paid in cash. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F6">Represents an award granted in 2018 under the Issuer's Shareholder Value Plan. Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock less the base price per unit of the award. The award will vest on December 31, 2020, subject to the Reporting Person's continued employment with Issuer on such vesting date.  The award will be paid in cash. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F7">Represents an award granted in 2017 under the Issuer's Restricted Award Plan.  Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock.  The  award will vest on December 31, 2019, subject to the Reporting Person's continued employment with Issuer on each such vesting date.  The award will be paid in cash. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F8">Represents an award granted in 2017 under the Issuer's Long Term Growth Plan. Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock.  The  award will vest based on Issuer's performance during a three-year performance period ending December 31, 2019, subject to the Reporting Person's continued employment with Issuer on the payment date.  The award will be paid in cash. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F9">Represents an award granted in 2017 under the Issuer's Shareholder Value Plan. Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock less the base price per unit of the award.  The award will vest on December 31, 2019, subject to the Reporting Person's continued employment with Issuer on such vesting date.  The award will be paid in cash. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F10">Represents phantom stock deferred by the Reporting Person under the Shareholder Value Plan of the Issuer.  Each share of phantom stock represents a right to receive the cash value of one share of Issuer's common stock.  The phantom stock will be paid in cash upon the Reporting Person's termination of employment or at the date elected by the Reporting Person in a lump sum or, upon certain terminations and upon the Reporting Person's election, in five or ten substantially equal annual installments. The value of the phantom stock will be determined based on the Issuer's share price at the time of payment.</footnote>
        <footnote id="F11">Represents Reporting Person's account under the Issuer's Executive Restoration Plan. Reporting Person's account is increased or decreased annually by the percentage change in the value of Issuer's common stock since the preceding annual valuation date.   Reporting Person's account balance as of December 31, 2018, the most recent annual valuation date, was $429,270.  The Reporting Person will vest in the excess benefit plan account in accordance with the same vesting schedule as the ESOP. The account is paid in cash in a lump sum upon the Reporting Person's termination of employment, or, if so elected by the Reporting Person, upon a change in control or substantial financial hardship.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Michael R. Kolloway, as attorney-in-fact</signatureName>
        <signatureDate>2019-05-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
