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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2013-05-06</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001326801</issuerCik>
        <issuerName>Facebook Inc</issuerName>
        <issuerTradingSymbol>FB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001509441</rptOwnerCik>
            <rptOwnerName>Schroepfer Michael Todd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FACEBOOK, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>1601 WILLOW ROAD</rptOwnerStreet2>
            <rptOwnerCity>MENLO PARK</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Technology Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2013-05-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>429553</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2023-05-05</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>429553</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>429553</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2019-01-11</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                    <footnoteId id="F5"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>99855</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>99855</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>2019-01-11</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                    <footnoteId id="F5"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>117685</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>117685</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F7"/>
            </exerciseDate>
            <expirationDate>
                <value>2019-08-25</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                    <footnoteId id="F5"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>281250</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>281250</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F8"/>
            </exerciseDate>
            <expirationDate>
                <value>2020-08-25</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                    <footnoteId id="F5"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1385355</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1385355</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F9"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-03-24</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                    <footnoteId id="F5"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>959233</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>959233</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Restricted Stock Unit (RSU)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F10"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-05-02</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                    <footnoteId id="F5"/>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>545957</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>545957</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each RSU represents a contingent right to receive 1 share of the issuer's Class A Common Stock upon settlement.</footnote>
        <footnote id="F2">The RSUs vest as to 1/16th of the total shares quarterly, beginning on November 15, 2017, subject to continued service through each vesting date.</footnote>
        <footnote id="F3">Each RSU represents a contingent right to receive 1 share of the issuer's Class B Common Stock upon settlement.</footnote>
        <footnote id="F4">The RSUs were granted with both (a) a liquidity event-based vesting condition and (b) a service-based vesting condition.  Both of which conditions must be satisfied in order for the RSUs to vest.  The liquidity event-based vesting condition was satisfied on November 17, 2012.  Pursuant to the terms of the RSU award, the service-based vesting condition was satisfied as to 1/5th of the total number of shares on September 1, 2009 and then 1/60th of the total number of shares vest monthly thereafter, subject to continued service through each vesting date.</footnote>
        <footnote id="F5">The Class B Common Stock is convertible (a) at the holder's option or (b) upon certain transfers of such shares, into the issuer's Class A Common Stock on a 1-for-1 basis and has no expiration date.</footnote>
        <footnote id="F6">The RSUs were granted with both (a) a liquidity event-based vesting condition and (b) a service-based vesting condition.  Both of which conditions must be satisfied in order for the RSUs to vest.  The liquidity event-based vesting condition was satisfied on November 17, 2012.  Pursuant to the terms of the RSU award, the service-based vesting condition was satisfied as to 1/5th of the total number of shares on November 1, 2009 and then 1/60th of the total number of shares vest monthly thereafter, subject to continued service through each vesting date.</footnote>
        <footnote id="F7">The RSUs were granted with both (a) a liquidity event-based vesting condition and (b) a service-based vesting condition.  Both of which conditions must be satisfied in order for the RSUs to vest.  The liquidity event-based vesting condition was satisfied on November 17, 2012.  Pursuant to the terms of the RSU award, the service-based vesting condition was satisfied as to 1/5th of the total number of shares on July 15, 2010 and then 1/60th of the total number of shares vest monthly thereafter, subject to continued service through each vesting date.</footnote>
        <footnote id="F8">The RSUs were granted with both (a) a liquidity event-based vesting condition and (b) a service-based vesting condition.  Both of which conditions must be satisfied in order for the RSUs to vest.  The liquidity event-based vesting condition was satisfied on November 17, 2012.  Pursuant to the terms of the RSU award, the service-based vesting condition will be satisfied as to 1/16th of the total number of shares on August 15, 2014, after which 1/16th of the total number of shares vest quarterly thereafter, subject to continued service through each vesting date.</footnote>
        <footnote id="F9">The RSUs vest as to 1/16th of the total shares quarterly, beginning on January 15, 2014, subject to continued service through each vesting date.</footnote>
        <footnote id="F10">The RSUs vest as to 1/16th of the total shares quarterly, beginning on November 15, 2014, subject to continued service through each vesting date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Michael Johnson as attorney-in-fact for Michael T. Schroepfer</signatureName>
        <signatureDate>2013-05-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
