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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-05-23</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001128361</issuerCik>
        <issuerName>HOPE BANCORP INC</issuerName>
        <issuerTradingSymbol>HOPE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001402559</rptOwnerCik>
            <rptOwnerName>KIM KYU S.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3200 WILSHIRE BLVD., SUITE 1400</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LOS ANGELES</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>90010</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SEVP, Eastern Regional Pres.</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-05-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>654</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>14.11</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>59526</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1861</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1861</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F3"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F3"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1861</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1861</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>931</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>931</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F5"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F5"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1751</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1751</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F6"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F6"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1751</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1751</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F7"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F7"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F7"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>875</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>875</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F8"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F8"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F8"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3750</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3750</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F9"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F9"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F9"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3750</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3750</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Incentive Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>17.18</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F10"/>
            </exerciseDate>
            <expirationDate>
                <value>2026-09-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>30000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>30000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Shares disposed to satisfy the Reporting Person's tax liability incurred by the vesting of a previously granted award.</footnote>
        <footnote id="F2">1,861 performance-based restricted stock units (&quot;PRSU&quot;) were granted on March 23, 2022 pursuant to the 2017 LTIP and 2019 ICP and
subject to a 3-year cliff vesting. Vesting of these PRSU shares depends upon Hope's achievement of a specified relative return on common
tangible equity in relation to the bank's stated peer group over a 12-quarter period from January 1, 2022 through December 31, 2024. Each
PRSU represents a contingent right to receive one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is
reported. Possible payout ranges from 0% of Target if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but
the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch
goal is met or exceeded.</footnote>
        <footnote id="F3">1,861 PRSU were granted on March 23, 2022 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these
PRSU shares depends upon Hope's achievement of a specified absolute earnings per share in relation to the bank's stated budget over a 12-
month period from January 1, 2022 through December 31, 2022. Each PRSU represents a contingent right to receive one share of Hope
common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target if the Threshold
goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the
Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F4">931 PRSU were granted on March 23, 2022 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these
PRSU shares depends upon Hope's achievement of a specified relative ranking of the total stockholder return in relation to the bank's stated
peer group over a 12-quarter period from January 1, 2022 through December 31, 2024. Each PRSU represents a contingent right to receive
one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target
if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F5">1,751 PRSU were granted on May 19, 2021 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU shares depends upon Hope's achievement of a specified relative return on common tangible equity in relation to the bank's stated peer group over a 12-quarter period from January 1, 2021 through December 31, 2023. Each PRSU represents a contingent right to receive one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F6">1,751 PRSU were granted on May 19, 2021 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU shares depends upon Hope's achievement of a specified absolute earnings per share in relation to the bank's stated budget over a 12-month period from January 1, 2021 through December 31, 2021. Each PRSU represents a contingent right to receive one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F7">875 PRSU were granted on May 19, 2021 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU shares depends upon Hope's achievement of a specified relative ranking of the total stockholder return in relation to the bank's stated peer group over a 12-quarter period from January 1, 2021 through December 31, 2023. Each PRSU represents a contingent right to receive one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F8">3,750 PRSU were granted on April 22, 2020 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU shares depends upon Hope's achievement of a specified relative ranking of the total stockholder return in relation to the KRX Index over an 11-quarter period from April 1, 2020 through December 31, 2022. Each PRSU represents a contingent right to receive one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F9">3,750 PRSU were granted on April 22, 2020 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU shares depends upon Hope's achievement of a specified relative return on average assets in relation to the KRX Index over an 11-quarter period from April 1, 2020 through December 31, 2022. Each PRSU represents a contingent right to receive one share of Hope common stock at Target performance. The &quot;Target&quot; number of shares is reported. Possible payout ranges from 0% of Target if the Threshold goal is not met, 50% to 99% on a prorated basis if the Threshold is met but the Target goal is not met, 100% to 149% on a prorated basis if the Target goal is met but the Stretch goal is not met, and 150% if the Stretch goal is met or exceeded.</footnote>
        <footnote id="F10">Non-qualified stock options granted on September 1, 2016 pursuant to the 2016 ICP.  These options were fully vested as of September 1, 2021.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Claire Hur as attorney-in-fact for Kyu S. Kim</signatureName>
        <signatureDate>2022-05-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
