Exhibit 99.6

CERTIFICATION PURSUANT TO

18 U.S.C. §1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the annual report of Goldcorp Inc. (the Company) on Form 40-F for the period ended December 31, 2013 as
filed with the Securities and Exchange Commission on the date hereof (the Report), I, Charles A. Jeannes, President and Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of Section 13(a) or
15(d) of the Securities Exchange Act of 1934; and

(2) The information contained in this Report fairly presents, in all material respects,
the financial condition and results of operations of the Company.



|                     |  |  |  |  |  |                                      
|-------------------- |  |  |  |  |  | -------------------------------------
|Date: March 31, 2014 |  |  |  |  |  | /s/ Charles A. Jeannes               
|                     |  |  |  |  |  | Charles A. Jeannes                   
|                     |  |  |  |  |  | President and Chief Executive Officer

A signed original of this written statement required by Section 906 has been provided to Goldcorp Inc.
and will be retained by Goldcorp Inc. and furnished to the Securities and Exchange Commission or its staff upon request.

This
certification accompanies the annual report pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 and shall not, except to the extent required by the Sarbanes-Oxley Act of 2002, be deemed filed by the Registrant for purposes of
Section 18 of the Securities Exchange Act of 1934, as amended.



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CERTIFICATION PURSUANT TO

18 U.S.C. §1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the annual report of Goldcorp Inc. (the Company) on Form 40-F for the period ended December 31, 2013 as
filed with the Securities and Exchange Commission on the date hereof (the Report), I, Lindsay A. Hall, Executive Vice President and Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of Section 13(a) or
15(d) of the Securities Exchange Act of 1934; and

(2) The information contained in this Report fairly presents, in all material respects,
the financial condition and results of operations of the Company.



|                     |  |  |  |  |  |                                                     
|-------------------- |  |  |  |  |  | ----------------------------------------------------
|Date: March 31, 2014 |  |  |  |  |  | /s/ Lindsay A. Hall                                 
|                     |  |  |  |  |  | Lindsay A. Hall                                     
|                     |  |  |  |  |  | Executive Vice President and Chief Financial Officer

A signed original of this written statement required by Section 906 has been provided to Goldcorp Inc.
and will be retained by Goldcorp Inc. and furnished to the Securities and Exchange Commission or its staff upon request.

This
certification accompanies the annual report pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 and shall not, except to the extent required by the Sarbanes-Oxley Act of 2002, be deemed filed by the Registrant for purposes of
Section 18 of the Securities Exchange Act of 1934, as amended.