Reynolds American (RAI) 10-Q 2015 Q2 Quarterly report

Exhibit 32.1

REYNOLDS AMERICAN INC.

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Certification Pursuant to 18 U.S.C. §1350

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Pursuant to 18 U.S.C. § 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned, Susan M. Cameron, Chief Executive Officer, and Andrew D. Gilchrist, Chief Financial Officer, of Reynolds American Inc. (“RAI”), hereby certifies, to her or his knowledge, that:

1) RAI’s Quarterly Report on Form 10-Q for the quarter ended June 30, 2015, 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 RAI’s Quarterly Report on Form 10-Q for the quarter ended June 30, 2015, fairly presents, in all material respects, the financial condition and results of operations of RAI.

EXECUTED this 6^th day of August, 2015.

/s/ Susan M. Cameron

Susan M. Cameron, President and

Chief Executive Officer of Reynolds American Inc.

/s/ Andrew D. Gilchrist

Andrew D. Gilchrist, Executive Vice President and

Chief Financial Officer of Reynolds American Inc.