<SEC-DOCUMENT>0000899243-18-019642.txt : 20180709
<SEC-HEADER>0000899243-18-019642.hdr.sgml : 20180709
<ACCEPTANCE-DATETIME>20180709161111
ACCESSION NUMBER:		0000899243-18-019642
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20180705
FILED AS OF DATE:		20180709
DATE AS OF CHANGE:		20180709

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			SIEGAL MICHAEL D
		CENTRAL INDEX KEY:			0000940858

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-23320
		FILM NUMBER:		18944817

	MAIL ADDRESS:	
		STREET 1:		5080 RICHMOND ROAD
		CITY:			CLEVELAND
		STATE:			OH
		ZIP:			44146-1392

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			OLYMPIC STEEL INC
		CENTRAL INDEX KEY:			0000917470
		STANDARD INDUSTRIAL CLASSIFICATION:	WHOLESALE-METALS SERVICE CENTERS & OFFICES [5051]
		IRS NUMBER:				341245650
		STATE OF INCORPORATION:			OH
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		5096 RICHMOND RD
		CITY:			BEDFORD HEIGHTS
		STATE:			OH
		ZIP:			44146
		BUSINESS PHONE:		2162923800

	MAIL ADDRESS:	
		STREET 1:		5096 RICHMOND RD
		CITY:			BEDFORD HEIGHTS
		STATE:			OH
		ZIP:			44146
</SEC-HEADER>
<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>2018-07-05</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000917470</issuerCik>
        <issuerName>OLYMPIC STEEL INC</issuerName>
        <issuerTradingSymbol>ZEUS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000940858</rptOwnerCik>
            <rptOwnerName>SIEGAL MICHAEL D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O OLYMPIC STEEL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>22901 MILLCREEK BLVD., SUITE 650</rptOwnerStreet2>
            <rptOwnerCity>HIGHLAND HILLS</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>44122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chairman of the Board and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Share Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-07-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</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>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>822</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>86659</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each restricted share unit (&quot;RSU&quot;) represents the contingent right to receive one share of Olympic Steel, Inc. common stock.</footnote>
        <footnote id="F2">These RSUs were acquired under Olympic Steel's Amended and Restated 2007 Omnibus Incentive Plan. These RSUs vest on July 5, 2023 if the Reporting Person continues to be an employee of Olympic Steel (or its subsidiaries or affiliates) in the same or a higher position on such date. Any vested RSUs will be settled within 30 days following the first to occur of the Reporting Person's death, disability or retirement after the Reporting Person has attained the age of 62. Vesting and settlement may also occur earlier in limited circumstances as specified in the award agreement.</footnote>
        <footnote id="F3">This total number of RSUs includes previously-granted RSUs with different vesting and payment terms.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Gretchen A. Sterling, as Attorney-in-Fact</signatureName>
        <signatureDate>2018-07-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
