<SUBMISSION>
<ACCESSION-NUMBER>0001209191-18-030653
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20180514
<FILING-DATE>20180516
<DATE-OF-FILING-DATE-CHANGE>20180516
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>WEAVER SCOTT D
<CIK>0001250820
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>000-20278
<FILM-NUMBER>18841170
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>C/O WESTERN REFINING, INC.
<STREET2>6500 TROWBRIDGE DRIVE
<CITY>EL PASO
<STATE>TX
<ZIP>79905
</MAIL-ADDRESS>
</REPORTING-OWNER>
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>ENCORE WIRE CORP
<CIK>0000850460
<ASSIGNED-SIC>3350
<IRS-NUMBER>752274963
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>1329 MILLWOOD RD
<CITY>MCKINNEY
<STATE>TX
<ZIP>75069
<PHONE>972-562-9473
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>1329 MILLWOOD RD
<CITY>MCKINNEY
<STATE>TX
<ZIP>75069
</MAIL-ADDRESS>
<FORMER-COMPANY>
<FORMER-CONFORMED-NAME>ENCORE WIRE CORP /DE/
<DATE-CHANGED>19940420
</FORMER-COMPANY>
</ISSUER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-05-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000850460</issuerCik>
        <issuerName>ENCORE WIRE CORP</issuerName>
        <issuerTradingSymbol>WIRE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001250820</rptOwnerCik>
            <rptOwnerName>WEAVER SCOTT D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1329 MILLWOOD RD.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MCKINNEY</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75069</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2018-05-14</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>22000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These shares of common stock of the issuer were granted to non-employee directors of the issuer pursuant to the issuer's 2010 Stock Option Plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Frank J. Bilban, attorney-in-fact</signatureName>
        <signatureDate>2018-05-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
