RegistrationNos. 002-57265/811-2684

UNITED STATESSECURITIES AND EXCHANGE COMMISSIONWASHINGTON, D.C. 20549FORM N-1A

REGISTRATIONSTATEMENT UNDER THE SECURITIES ACT OF 1933  /X/

       

 Post-Effective Amendment No. 71      /X/

and/or

REGISTRATION STATEMENT UNDERTHE INVESTMENT COMPANY ACT OF 1940 /X/

 AmendmentNo. 51        /X/

T.ROWE PRICE TAX-FREE INCOME FUND, INC.

Exact Name of Registrant as Specified in Charter

100 East Pratt Street, Baltimore,Maryland 21202Address of Principal Executive Offices

410-345-2000Registrant’s TelephoneNumber, Including Area Code

David Oestreicher

100 East Pratt Street, Baltimore, Maryland 21202Name and Addressof Agent for Service

 It is proposed that this filing willbecome effective (check appropriate box):

/X/ Immediately uponfiling pursuant to paragraph (b)

// On (date) pursuantto paragraph (b)

// 60 days after filing pursuant to paragraph(a)(1)

// On (date) pursuant to paragraph (a)(1)

// 75days after filing pursuant to paragraph (a)(2)

// On (date) pursuantto paragraph (a)(2) of Rule 485

 If appropriate, checkthe following box:

// Thispost-effective amendment designates a new effective date for a previously filed post-effective amendment.

 

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EXHIBITS

|                                                  |        |
|-------------------------------------------------------|-------------|
| Exhibit                                               | Exhibit No. |
| XBRL Instance Document                                | EX-101.INS  |
| XBRL Taxonomy Extension SchemaDocument                | EX-101.SCH  |
| XBRL Taxonomy Extension Calculation Linkbase Document | EX-101.CAL  |
| XBRL Taxonomy Extension DefinitionLinkbase Document   | EX-101.DEF  |
| XBRL Taxonomy Extension Labels Linkbase Document      | EX-101.LAB  |
| XBRL Taxonomy Extension PresentationLinkbase Document | EX-101.PRE  |

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Signatures

Pursuantto the requirements of the Securities Act of 1933, as amended, and the Investment Company Act of 1940,as amended, the Registrant certifies that it meets all of the requirements for effectiveness of thisRegistration Statement pursuant to Rule 485(b) under the Securities Act of 1933 and has duly caused thisRegistration Statement to be signed on its behalf by the undersigned, duly authorized, in the City ofBaltimore, State of Maryland, this July 17, 2017.

 T.ROWE PRICE TAX-FREE INCOME FUND, INC.

 /s/EdwardC. Bernard

By: Edward C. Bernard

 Chairman of the Board

Pursuant to the requirements of the SecuritiesAct of 1933, as amended, this Registration Statement has been signed below by the following persons inthe capacities and on the dates indicated:

|                    |                      |          |
|-------------------------|---------------------------|---------------|
| Signature               | Title                     | Date          |
|                    |                      |          |
|                    |                      |          |
| /s/Edward C. Bernard    | Chairman of the Board     | July 17, 2017 |
| Edward C. Bernard       | (Chief Executive Officer) |          |
|                    |                      |          |
|                    |                      |          |
| /s/Catherine D. Mathews | Treasurer                 | July 17, 2017 |
| CatherineD. Mathews     | (Chief Financial Officer) |          |
|                    | and Vice President        |          |
|                    |                      |          |
| *                       |                      |          |
| Anthony W. Deering      | Director                  | July 17, 2017 |
|                    |                      |          |
|                    |                      |          |
| *                       |                      |          |
| Bruce W. Duncan         | Director                  | July17, 2017  |
|                    |                      |          |
|                    |                      |          |
| *                       |                      |          |
| Robert J. Gerrard, Jr.  | Director                  | July17, 2017  |
|                    |                      |          |
|                    |                      |          |
| *                       |                      |          |
| Paul F. McBride         | Director                  | July17, 2017  |
|                    |                      |          |
|                    |                      |          |
| *                       |                      |          |
| Cecilia E. Rouse        | Director                  | July17, 2017  |
|                    |                      |          |
|                    |                      |          |
| *                       |                      |          |
| John G. Schreiber       | Director                  | July17, 2017  |
|                    |                      |          |
|                    |                      |          |
| *                       |                      |          |
| Mark. R. Tercek         | Director                  | July17, 2017  |
|                    |                      |          |
|                    |                      |          |
| /s/Edward A. Wiese      |                      |          |
| Edward A. Wiese         | Director                  | July17, 2017  |

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|                  |               |          |
|-----------------------|--------------------|---------------|
|                  |               |          |
|                  |               |          |
| */s/David Oestreicher |               |          |
| David Oestreicher     | Vice President and | July 17, 2017 |
|                  | Attorney-In-Fact   |          |

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T.ROWE PRICE BALANCED FUND, INC.

T. ROWE PRICE BLUE CHIP GROWTH FUND, INC.

T. ROWE PRICE CALIFORNIA TAX-FREE INCOME TRUST

T.ROWE PRICE CAPITAL APPRECIATION FUND

T. ROWE PRICE CAPITAL APPRECIATION FUND, INC.

T. ROWE PRICE CAPITAL APPRECIATION& INCOME FUND, INC.

T. ROWE PRICE CAPITAL OPPORTUNITY FUND, INC.

T. ROWE PRICE CORPORATE INCOME FUND, INC.

T.ROWE PRICE CREDIT OPPORTUNITIES FUND, INC.

T. ROWE PRICE DIVERSIFIED MID-CAP GROWTH FUND, INC.

T. ROWE PRICE DIVIDEND GROWTHFUND, INC.

T.ROWE PRICE EQUITY INCOME FUND

T. ROWE PRICE EQUITY INCOME FUND, INC.

T. ROWE PRICE EQUITY SERIES, INC.

T. ROWE PRICE FINANCIAL SERVICESFUND, INC.

T.ROWE PRICE FIXED INCOME SERIES, INC.

T. ROWE PRICE FLOATING RATE FUND, INC.

T. ROWE PRICE GLOBAL ALLOCATIONFUND, INC.

T.ROWE PRICE GLOBAL MULTI-SECTOR BOND FUND, INC.

T. ROWE PRICE GLOBAL REAL ESTATE FUND, INC.

T. ROWE PRICE GLOBAL TECHNOLOGYFUND, INC.

T.ROWE PRICE GNMA FUND

T. ROWE PRICE GNMA FUND, INC.

T. ROWE PRICE GOVERNMENT MONEY FUND, INC.

T. ROWE PRICE GROWTH &INCOME FUND, INC.

T. ROWE PRICE GROWTH STOCK FUND, INC.

T. ROWE PRICE HEALTH SCIENCES FUND, INC.

T.ROWE PRICE HIGH YIELD FUND, INC.

T. ROWE PRICE INDEX TRUST, INC.

T. ROWE PRICE INFLATION PROTECTEDBOND FUND, INC.

T. ROWE PRICE INSTITUTIONAL EQUITY FUNDS, INC.

T. ROWE PRICE INSTITUTIONAL INCOME FUNDS, INC.

T.ROWE PRICE INSTITUTIONAL INTERNATIONAL FUNDS, INC.

T. ROWE PRICE INTERMEDIATE TAX-FREE HIGH YIELDFUND, INC.

T.ROWE PRICE INTERNATIONAL FUNDS, INC.

T. ROWE PRICE INTERNATIONAL INDEX FUND, INC.

T. ROWE PRICE INTERNATIONALSERIES, INC.

T.ROWE PRICE LIMITED DURATION INFLATION FOCUSED BOND FUND, INC.

T. ROWE PRICE MEDIA & TELECOMMUNICATIONSFUND, INC.

T.ROWE PRICE MID-CAP GROWTH FUND, INC.

T. ROWE PRICE MID-CAP VALUE FUND, INC.

T. ROWE PRICE MULTI-SECTORACCOUNT PORTFOLIOS, INC.

T. ROWE PRICE MULTI-STRATEGY TOTAL RETURN FUND, INC.

T. ROWE PRICE NEW AMERICA GROWTHFUND

T.ROWE PRICE NEW AMERICA GROWTH FUND, INC.T. ROWE PRICE NEW ERA FUND, INC.

T. ROWE PRICE NEW HORIZONSFUND, INC.

T.ROWE PRICE NEW INCOME FUND, INC.

T. ROWE PRICE PERSONAL STRATEGY FUNDS, INC.

T. ROWE PRICE QUANTITATIVEMANAGEMENT FUNDS, INC.

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T.ROWE PRICE REAL ASSETS FUND, INC.

T. ROWE PRICE REAL ESTATE FUND, INC.

T. ROWE PRICE RESERVE INVESTMENTFUNDS, INC.

T.ROWE PRICE RETIREMENT FUNDS, INC.

T. ROWE PRICE SCIENCE & TECHNOLOGY FUND, INC.

T. ROWE PRICE SHORT-TERM BONDFUND, INC.

T.ROWE PRICE SMALL-CAP STOCK FUND, INC.

T. ROWE PRICE SMALL-CAP VALUE FUND, INC.

T. ROWE PRICE SPECTRUM FUND,INC.

T.ROWE PRICE STATE TAX-FREE INCOME TRUST

T. ROWE PRICE STATE TAX-FREE FUNDS, INC.

T. ROWE PRICE SUMMIT FUNDS,INC.

T.ROWE PRICE SUMMIT MUNICIPAL FUNDS, INC.

T. ROWE PRICE TAX-EFFICIENT FUNDS, INC.

T. ROWE PRICE TAX-EXEMPT MONEYFUND, INC.

T.ROWE PRICE TAX-FREE HIGH YIELD FUND, INC.

T. ROWE PRICE TAX-FREE INCOME FUND, INC.

T. ROWE PRICE TAX-FREE SHORT-INTERMEDIATEFUND, INC.

T.ROWE PRICE TOTAL RETURN FUND, INC.

T. ROWE PRICE U.S. BOND ENHANCED INDEX FUND, INC.

T. ROWE PRICE U.S. LARGE-CAPCORE FUND, INC.

T. ROWE PRICE U.S. TREASURY FUNDS, INC.

T. ROWE PRICE VALUE FUND, INC.

POWER OF ATTORNEY

 RESOLVED, thatthe Corporation does hereby constitute and authorize Edward C. Bernard, Margery K. Neale, and David Oestreicher,and each of them individually, their true and lawful attorneys and agents to take any and all actionand execute any and all instruments which said attorneys and agents may deem necessary or advisable toenable the Corporation/Trust to comply with the Securities Act of 1933, as amended, and the InvestmentCompany Act of 1940, as amended, and any rules, regulations, orders or other requirements of the UnitedStates Securities and Exchange Commission thereunder, in connection with the registration under the SecuritiesAct of 1933, as amended, of shares of the Corporation/Trust, to be offered by the Corporation/Trust,and the registration of the Corporation/Trust under the Investment Company Act of 1940, as amended, includingspecifically, but without limitation of the foregoing, power and authority to sign the name of the Corporation/Truston its behalf, and to sign the names of each of such directors/trustees and officers on his or her behalfas such director/trustee or officer to any (i) Registration Statement on Form N-1A or N-14 of theCorporation/Trust filed with the Securities and Exchange Commission under the Securities Act of 1933,as amended; (ii) Registration Statement on Form N-1A or N-14 of the Corporation/Trust under theInvestment Company Act of 1940, as amended; (iii) amendment or supplement (including, but not limitedto, Post-Effective Amendments adding additional series or classes of the Corporation/Trust) to said RegistrationStatement; and (iv) instruments or documents filed or to be filed as a part of or in connectionwith such Registration Statement, including Articles Supplementary, Articles of Amendment, and otherinstruments with respect to the Articles of Incorporation or Master Trust Agreement of the Corporation/Trust.

 IN WITNESS WHEREOF, the above named Corporations/Trusts havecaused these presents to be signed and the same attested by its Secretary, each thereunto duly authorizedby its Board of Directors/Trustees, and each of the undersigned has hereunto set his or her hand andseal as of the day set opposite his or her name.

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|                                         |                                                                 |           |
|----------------------------------------------|----------------------------------------------------------------------|----------------|
| ALLCORPORATIONS/TRUSTS

/s/Edward C. Bernard |                                                                 |           |
| Edward C. Bernard

/s/Catherine D. Mathews   | Chairmanof the Board (Principal Executive Officer)

Director/Trustee | April 27, 2017 |
| Catherine D. Mathews

/s/Anthony W. Deering  | Treasurer(Principal Financial Officer)

Vice President               | April 27, 2017 |
| AnthonyW. Deering

/s/BruceW. Duncan         | Director/Trustee                                                     | April 27, 2017 |
| BruceW. Duncan

/s/RobertJ. Gerrard, Jr.     | Director/Trustee                                                     | April27, 2017  |
| Robert J. Gerrard, Jr.

/s/Paul F. McBride   | Director/Trustee                                                     | April 27, 2017 |
| Paul F. McBride

/s/Cecilia E. Rouse         | Director/Trustee                                                     | April 27, 2017 |
| Cecilia E. Rouse

/s/John G. Schreiber       | Director/Trustee                                                     | April 27, 2017 |
| John G. Schreiber

/s/Mark R. Tercek         | Director/Trustee                                                     | April 27, 2017 |
| MarkR. Tercek                                | Director/Trustee                                                     | April 27, 2017 |

(SignaturesContinued)

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ROBERT W. SHARPS, Director/Trustee

T.ROWE PRICE BALANCED FUND, INC.

T. ROWE PRICE BLUE CHIP GROWTH FUND, INC.

T. ROWE PRICE CAPITAL APPRECIATION FUND

T.ROWE PRICE CAPITAL APPRECIATION FUND, INC.

T. ROWE PRICE CAPITAL APPRECIATION & INCOME FUND, INC.

T.ROWE PRICE CAPITAL OPPORTUNITY FUND, INC.

T. ROWE PRICE DIVERSIFIED MID-CAP GROWTH FUND, INC.

T. ROWE PRICE DIVIDEND GROWTHFUND, INC.

T.ROWE PRICE EQUITY INCOME FUND

T. ROWE PRICE EQUITY INCOME FUND, INC.

T. ROWE PRICE EQUITY SERIES, INC.

T. ROWE PRICE FINANCIAL SERVICESFUND, INC.

T.ROWE PRICE GLOBAL ALLOCATION FUND, INC.

T. ROWE PRICE GLOBAL REAL ESTATE FUND, INC.

T. ROWE PRICE GLOBAL TECHNOLOGYFUND, INC.

T.ROWE PRICE GROWTH & INCOME FUND, INC.

T. ROWE PRICE GROWTH STOCK FUND, INC.

T. ROWE PRICE HEALTH SCIENCESFUND, INC.

T.ROWE INDEX TRUST, INC.

T. ROWE PRICE INSTITUTIONAL EQUITY FUNDS, INC.

T. ROWE PRICE INSTITUTIONAL INTERNATIONAL FUNDS,INC.

T.ROWE PRICE INTERNATIONAL FUNDS, INC.

T. ROWE PRICE INTERNATIONAL INDEX FUND, INC.

T. ROWE PRICE INTERNATIONALSERIES, INC.

T.ROWE PRICE MEDIA & TELECOMMUNICATIONS FUND, INC.

T. ROWE PRICE MID-CAP GROWTH FUND, INC.

T.ROWE PRICE MID-CAP VALUE FUND, INC.

T. ROWE PRICE MULTI-STRATEGY TOTAL RETURN FUND, INC.

T. ROWE PRICE NEW AMERICA GROWTHFUND

T.ROWE PRICE NEW AMERICA GROWTH FUND, INC.

T. ROWE PRICE NEW ERA FUND, INC.

T. ROWE PRICE NEW HORIZONSFUND, INC.

T.ROWE PRICE PERSONAL STRATEGY FUNDS, INC.

T. ROWE PRICE QUANTITATIVE MANAGEMENT FUNDS, INC.

T. ROWE PRICE REAL ASSETS FUND,INC.

T.ROWE PRICE REAL ESTATE FUND, INC.

T. ROWE PRICE RETIREMENT FUNDS, INC.

T. ROWE PRICE SCIENCE &TECHNOLOGY FUND, INC.

T. ROWE PRICE SMALL-CAP STOCK FUND, INC.

T. ROWE PRICE SMALL-CAP VALUE FUND, INC.

T.ROWE PRICE SPECTRUM FUND, INC.

T. ROWE PRICE TAX-EFFICIENT FUNDS, INC.

T. ROWE PRICE U.S. LARGE-CAP CORE FUND, INC.

T.ROWE PRICE VALUE FUND, INC.

/s/Robert W. Sharps

|             |   |           |
|------------------|--------|----------------|
| Robert W. Sharps |   | April 27, 2017 |

(Signatures Continued)

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EDWARD A. WIESE, Director/Trustee

T.ROWE PRICE CALIFORNIA TAX-FREE INCOME TRUST

T. ROWE PRICE CORPORATE INCOME FUND, INC.

T. ROWE PRICE CREDIT OPPORTUNITIESFUND, INC.

T.ROWE PRICE FIXED INCOME SERIES, INC.

T. ROWE PRICE FLOATING RATE FUND, INC.

T. ROWE PRICE GLOBAL MULTI-SECTORBOND FUND, INC.

T. ROWE PRICE GNMA FUND

T. ROWE PRICE GNMA FUND, INC.

T. ROWE PRICE GOVERNMENT MONEY FUND, INC.

T.ROWE PRICE HIGH YIELD FUND, INC.

T. ROWE PRICE INSTITUTIONAL INCOME FUNDS, INC.

T. ROWE PRICE INFLATION PROTECTEDBOND FUND, INC.

T. ROWE PRICE INTERMEDIATE TAX-FREE HIGH YIELD FUND, INC.

T. ROWE PRICE LIMITED DURATIONINFLATION FOCUSED BOND FUND, INC.

T. ROWE PRICE MULTI-SECTOR ACCOUNT PORTFOLIOS, INC.

T. ROWE PRICE NEW INCOME FUND,INC.

T.ROWE PRICE RESERVE INVESTMENT FUNDS, INC.

T. ROWE PRICE SHORT-TERM BOND FUND, INC.

T. ROWE PRICE STATE TAX-FREEINCOME TRUST

T.ROWE PRICE STATE TAX-FREE FUNDS, INC.

T. ROWE PRICE SUMMIT FUNDS, INC.

T. ROWE PRICE SUMMIT MUNICIPALFUNDS, INC.

T.ROWE PRICE TAX-EXEMPT MONEY FUND, INC.

T. ROWE PRICE TAX-FREE HIGH YIELD FUND, INC.

T. ROWE PRICE TAX-FREE INCOMEFUND, INC.

T.ROWE PRICE TAX-FREE SHORT-INTERMEDIATE FUND, INC.

T. ROWE PRICE U.S. BOND ENHANCED INDEX FUND, INC.

T. ROWE PRICE U.S. TREASURYFUNDS, INC.

/s/Edward A. Wiese

|           |   |          |
|----------------|--------|---------------|
| EdwardA. Wiese |   | April27, 2017 |

(Signatures Continued)

Page10

ATTEST:

/s/Darrell N. Braman

|                         |   |   |
|------------------------------|--------|--------|
| Darrell N. Braman, Secretary |   |   |