<SEC-DOCUMENT>0001209191-16-102794.txt : 20160226
<SEC-HEADER>0001209191-16-102794.hdr.sgml : 20160226
<ACCEPTANCE-DATETIME>20160226154451
ACCESSION NUMBER:		0001209191-16-102794
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20160223
FILED AS OF DATE:		20160226
DATE AS OF CHANGE:		20160226

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			NUVEEN NEW YORK AMT-FREE MUNICIPAL INCOME FUND
		CENTRAL INDEX KEY:			0001195739
		IRS NUMBER:				030487021
		STATE OF INCORPORATION:			MA
		FISCAL YEAR END:			0930

	BUSINESS ADDRESS:	
		STREET 1:		333 WEST WACKER DRIVE
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606
		BUSINESS PHONE:		3129178146

	MAIL ADDRESS:	
		STREET 1:		333 WEST WACKER DRIVE
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	NUVEEN INSURED NEW YORK TAX FREE ADVANTAGE MUNICIPAL FUND
		DATE OF NAME CHANGE:	20021003

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			CITIGROUP INC
		CENTRAL INDEX KEY:			0000831001
		STANDARD INDUSTRIAL CLASSIFICATION:	NATIONAL COMMERCIAL BANKS [6021]
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-21211
		FILM NUMBER:		161461328

	BUSINESS ADDRESS:	
		STREET 1:		388 GREENWICH STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10013
		BUSINESS PHONE:		2125591000

	MAIL ADDRESS:	
		STREET 1:		388 GREENWICH STREET
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10013

	FORMER NAME:	
		FORMER CONFORMED NAME:	TRAVELERS GROUP INC
		DATE OF NAME CHANGE:	19950519

	FORMER NAME:	
		FORMER CONFORMED NAME:	TRAVELERS INC
		DATE OF NAME CHANGE:	19940103

	FORMER NAME:	
		FORMER CONFORMED NAME:	PRIMERICA CORP /NEW/
		DATE OF NAME CHANGE:	19920703
</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>2016-02-23</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001195739</issuerCik>
        <issuerName>NUVEEN NEW YORK AMT-FREE MUNICIPAL INCOME FUND</issuerName>
        <issuerTradingSymbol>NRK</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000831001</rptOwnerCik>
            <rptOwnerName>CITIGROUP INC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>388 GREENWICH STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10013</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Variable Rate Demand Preferred Shares (Series 2)</value>
            </securityTitle>
            <transactionDate>
                <value>2016-02-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>32</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>100000.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>136</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Subsidiary</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Variable Rate Demand Preferred Shares (Series 2)</value>
            </securityTitle>
            <transactionDate>
                <value>2016-02-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>136</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>100000.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Subsidiary</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The Variable Rate Demand Preferred Shares (&quot;Shares&quot;) reported in Table I represent Shares beneficially owned by Citigroup Global Markets Inc.(&quot;CGMI&quot;). Citigroup Financial Products Inc. (&quot;CFP&quot;) is the sole stockholder of CGMI. Citigroup Global Markets Holdings Inc. (&quot;CGMH&quot;) is the sole stockholder of CFP. Citigroup Inc. is the sole stockholder of CGMH.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Citigroup Inc., By: /s/ Ali L. Karshan, Assistant Secretary</signatureName>
        <signatureDate>2016-02-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
