United States securities and exchange commission logo August 13, 2020 Troy E. Wilson, Ph.D., J.D. President and Chief Executive Officer Kura Oncology, Inc. 12730 High Bluff Drive, Suite 400 San Diego, CA 92130 Re: Kura Oncology, Inc. Registration Statement on Form S-3 Filed August 6, 2020 File No. 333-241663 Dear Dr. Wilson: This is to advise you that we have not reviewed and will not review your registration statement. Please refer to Rules 460 and 461 regarding requests for acceleration. We remind you that the company and its management are responsible for the accuracy and adequacy of their disclosures, notwithstanding any review, comments, action or absence of action by the staff. Please contact Jeffrey Gabor at 202-551-2544 with any questions. Sincerely, Division of Corporation Finance Office of Life Sciences cc: Charles Bair, Esq.