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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 JLo0ouOxazVKRIBnBGB3iPFPLXuuC4YWcVCvJKvQh8kQIdiaRsBJ3LDgrymKiV++
 A+TFbvcOCnTPj0YLQCQGbg==

<SEC-DOCUMENT>0001189642-04-000359.txt : 20040524
<SEC-HEADER>0001189642-04-000359.hdr.sgml : 20040524
<ACCEPTANCE-DATETIME>20040524115210
ACCESSION NUMBER:		0001189642-04-000359
CONFORMED SUBMISSION TYPE:	3
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040223
FILED AS OF DATE:		20040524

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			STEEVES CATHRYN
		CENTRAL INDEX KEY:			0001281059

	FILING VALUES:
		FORM TYPE:		3
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	811-06624
		FILM NUMBER:		04826013

	MAIL ADDRESS:	
		STREET 1:		333 W WACKER CRIVE
		STREET 2:		C/O NUVEEN INVESTMENTS
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			NUVEEN NEW YORK SELECT TAX -FREE INCOME PORTFOLIO
		CENTRAL INDEX KEY:			0000885731
		IRS NUMBER:				363828115
		STATE OF INCORPORATION:			MA
		FISCAL YEAR END:			0331

	BUSINESS ADDRESS:	
		STREET 1:		333 W WACKER DR
		CITY:			CHICAGO
		STATE:			IL
		ZIP:			60606
		BUSINESS PHONE:		3129178200

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	NUVEEN INSURED NEW YORK SELECT TAX FREE INCOME PORTFOLIO
		DATE OF NAME CHANGE:	19920929
</SEC-HEADER>
<DOCUMENT>
<TYPE>3
<SEQUENCE>1
<FILENAME>ste8.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2004-02-23</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000885731</issuerCik>
        <issuerName>NUVEEN NEW YORK SELECT TAX -FREE INCOME PORTFOLIO</issuerName>
        <issuerTradingSymbol>NXN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001281059</rptOwnerCik>
            <rptOwnerName>STEEVES CATHRYN</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>333 W. WACKER DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 2900</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60606</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Portfolio Manager</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: Jessica R. Droeger/Signed under POA</signatureName>
        <signatureDate>2004-05-20</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----
