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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-06-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001514416</issuerCik>
        <issuerName>Bandwidth Inc.</issuerName>
        <issuerTradingSymbol>BAND</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001721937</rptOwnerCik>
            <rptOwnerName>Carmichael Bandwidth LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DR, STE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001575505</rptOwnerCik>
            <rptOwnerName>Bailey Brian D.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL INVESTMENT PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DRIVE, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001567046</rptOwnerCik>
            <rptOwnerName>Martin Kevin J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL INVESTMENT PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DRIVE, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001722003</rptOwnerCik>
            <rptOwnerName>Carmichael Partners LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL INVESTMENT PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DRIVE, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001513802</rptOwnerCik>
            <rptOwnerName>Carmichael Investment Partners, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL INVESTMENT PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DRIVE, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001562063</rptOwnerCik>
            <rptOwnerName>Carmichael Investment Partners II, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL INVESTMENT PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DRIVE, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001592580</rptOwnerCik>
            <rptOwnerName>Carmichael Investment Partners III, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CARMICHAEL INVESTMENT PARTNERS LLC</rptOwnerStreet1>
            <rptOwnerStreet2>4725 PIEDMONT ROW DRIVE, SUITE 210</rptOwnerStreet2>
            <rptOwnerCity>CHARLOTTE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>28210</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>
            </securityTitle>
            <transactionDate>
                <value>2018-06-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>822</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1192472</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F4"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-06-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>822</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F5"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F5"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>822</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1644</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Consists of 1,188,874 shares of Class A Common Stock held by Carmichael Investment Partners LLC (&quot;CIP&quot;) and 3,598 shares of Class A Common Stock held directly by Brian D. Bailey.</footnote>
        <footnote id="F2">Pursuant to an agreement between Mr. Bailey and Carmichael Partners LLC, Carmichael Partners LLC is entitled to all economic benefits of such shares held by Mr. Bailey.</footnote>
        <footnote id="F3">Carmichael Bandwidth LLC is the managing member of each of Carmichael Investment Partners II, LLC (&quot;CIP II&quot;), Carmichael Investment Partners III, LLC (&quot;CIP III&quot; and, together with CIP and CIP II, the &quot;Carmichael Entities&quot;). Brian D. Bailey and Kevin J. Martin are the managing partners of Carmichael Bandwidth LLC and Carmichael Partners LLC and share voting and dispositive power with respect to the shares held by the Carmichael Entities and Carmichael Partners LLC. Each of the Reporting Persons disclaims beneficial ownership of the securities reported herein except to the extent of its or their pecuniary interest therein.</footnote>
        <footnote id="F4">Each Restricted Stock Unit represents a contingent right to receive one share of the Company's Class A Common Stock.</footnote>
        <footnote id="F5">On January 24, 2018, the Reporting Person was granted 3,288 Restricted Stock Units which vest in four equal quarterly installments beginning on March 31, 2018.</footnote>
        <footnote id="F6">Represents Restricted Stock Units held directly by Brian D. Bailey.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Brian D. Bailey</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Jeffrey A. Hoffman, Attorney-in-Fact for Kevin J. Martin</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carmichael Bandwidth LLC By: /s/ Brian D. Bailey, Managing Partner</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carmichael Partners LLC By: /s/ Brian D. Bailey, Managing Partner</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carmichael Investment Partners LLC,  By: Carmichael Bandwidth LLC, its managing member, By: /s/ Brian D. Bailey, Managing Partner</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carmichael Investment Partners II, LLC, By: Carmichael Bandwidth LLC, its managing member, By: /s/ Brian D. Bailey, Managing Partner</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Carmichael Investment Partners III, LLC, By: Carmichael Bandwidth LLC, its managing member, By: /s/ Brian D. Bailey, Managing Partner</signatureName>
        <signatureDate>2018-07-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
