Exhibit 32.1

Certification of United Continental Holdings, Inc.

Pursuant to 18 U.S.C. 1350

(Section 906 of the Sarbanes-Oxley Act of 2002)

Each undersigned officer certifies that to the best of his knowledge based on a review of the annual report on Form 10-K for the period ended December 31, 2015 of United Continental Holdings, Inc. (the “Report”):

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

(2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of United Continental Holdings, Inc.

Date: February 18, 2016

/s/ Brett J. Hart

Brett J. Hart

Acting Chief Executive Officer

/s/ Gerald Laderman

Gerald Laderman

Senior Vice President Finance and acting Chief Financial Officer