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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-03-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001452653</rptOwnerCik>
            <rptOwnerName>KIM JASON K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3200 WILSHIRE BLVD.</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 1400</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, Western Regional Pres.</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-03-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2203</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>16.49</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>79285</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-03-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>757</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>16.49</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>78528</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4677</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By spouse</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </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>1946</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1946</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>1946</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1946</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>972</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>972</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>5000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5000</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>5000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F7"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2022-03-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2719</value>
                    <footnoteId id="F8"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F7"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F7"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2719</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance-based Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F9"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2022-03-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2719</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>16.49</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F9"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F9"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2719</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <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">Represents performance-based restricted stock units &quot;PRSU&quot; described in footnote 9. Total 2,203 shares were vested and 516 shares were forfeited.</footnote>
        <footnote id="F2">1,946 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="F3">1,946 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="F4">972 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="F5">5,000 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="F6">5,000 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="F7">2,719 PRSU were granted on May 23, 2019 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU depends upon Hope's achievement of a specified relative return on average assets in relation to the KRX Index during the 11-quarter period from April 1, 2019 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="F8">Represents the forfeiture of PRSU.</footnote>
        <footnote id="F9">2,719 PRSU were granted on May 23, 2019 pursuant to the 2017 LTIP and 2019 ICP and subject to a 3-year cliff vesting. Vesting of these PRSU 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, 2019 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="F10">Non-qualified stock options granted on September 1, 2016 pursuant to the 2016 ICP.  These options vest annually in five equal installments on September 1st of 2017, 2018, 2019, 2020 and 2021.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Claire Hur as attorney-in-fact for Jason K. Kim</signatureName>
        <signatureDate>2022-03-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
