| Harry Shankman Scholarships | McGill University | Faculty of Medicine | | |
| Harry T. Walker Memorial Scholarships | Acadia University | | | premedical, predental |
| Harvey E. Dowling, M.D. and Pearl Christie-Dowling, M.D. Bursaries | University of Calgary | Faculty of Medicine | | Doctor of Medicine MD |
| HB Collier Memorial Gold Medal | University of Alberta | Faculty of Medicine and Dentistry | | Medical Laboratory Sciences |
| HE Bell Scholarship | University of Alberta | Faculty of Graduate Studies and Research, Faculty of Medicine and Dentistry | | Laboratory Medicine and Pathology, Medicine, Public Heath Sciences |
| Heather Mattice Memorial Award | Dalhousie University | Faculty of Health Professions | | Nuclear Medicine |
| Helen E. Dwyer Memorial Scholarship | Queen's University | Faculty of Health Sciences | School of Medicine | |
| Helen Humphrey Ross Award of Excellence | University of Manitoba | Faculty of Medicine | School of Medical Rehabilitation | Physical Therapy |
| Helen Jeannette Raver Memorial Scholarship in Dentistry | University of Alberta | Faculty of Medicine and Dentistry | Department of Dentistry and Dental Hygiene | Doctor of Dental Surgery DDS |
| Henry Anton Deutsch Medical Summer Research Award | University of Alberta | Faculty of Medicine and Dentistry | Department of Medicine | |
| Henry Kaufman Memorial Prize | Queen's University | Faculty of Health Sciences | School of Medicine | |
| Henry Melmed Memorial Fund | University of Manitoba | Faculty of Medicine | | |
| Henry Wojcicki Prize in Transcultural or Child Psychiatry | University of Alberta | Faculty of Medicine and Dentistry | Department of Psychiatry | Psychiatry |
| Herb Link Memorial Award | University of Alberta | Faculty of Medicine and Dentistry | Department of Dentistry and Dental Hygiene | |
| High Performance Computing Virtual Laboratory (HPCVL) Scholarship | Carleton University, Queen's University, Ryerson University, Royal Military College of Canada, University of Ottawa | | | Computational Sciences, Computational Engineering, Computational Social Sciences, Computational Humanities, Computational Medicine |
| Hilliard Medal in Medicine and the Department of Medicine Prize | University of Saskatchewan | College of Medicine | | MD |
| Hill's "Buddy" Award | University of Saskatchewan | College of Veterinary Medicine | | DVM |
| Hill's Canada Outstanding Intern Award | University of Saskatchewan | College of Veterinary Medicine | | DVM |
| Hill's Canada Outstanding Small Animal Resident Award | University of Saskatchewan | College of Veterinary Medicine | | DVM |
| Hill's Pet Nutrition Canada Class Spirit Award | University of Prince Edward Island | Atlantic Veterinary College | Veterinary Medicine | |
