| Havie Chinks Bursary in Theatre | Concordia University | Faculty of Fine Arts | Department of Theatre | Theatre Performance |
| Hazel Weldon Memorial Scholarship | McGill University | Faculty of Arts | | |
| Hazeldine Smith Bishop Fellowship | McGill University | Faculty of Arts | School of Social Work | |
| Heather and Erin Walker Humanitarian Award | Concordia University | Faculty of Fine Arts | | |
| Heather Walker Memorial Scholarship | Concordia University | Faculty of Fine Arts | | Cinema, Photography |
| Helen Darcovich Memorial Doctoral Fellowship | All Universities | | | Education, History, Law, Humanities, Arts, Social Sciences, Womens Studies, Library Sciences |
| Helen McNicoll Art Prize Established by Betty Ann Elliott | Concordia University | Faculty of Fine Arts | Department of Art History | Visual Arts, Art History |
| Heller Family Fellowships in Arts and Science | McGill University | Faculty of Arts, Faculty of Science | | |
| Henry Chapman Prize | McGill University | Faculty of Arts | | Modern Languages (excluding English), Hebrew |
| Henry Gamer Award for Acting | Concordia University | Faculty of Fine Arts | Department of Theatre | Theatre |
| Henry I. Chinks Memorial Entrance Scholarship | Concordia University | Faculty of Fine Arts | Studio Arts | |
| Henry Oelberg Memorial Award | McGill University | Faculty of Arts | School of Social Work | |
| Henry P. Habib Undergraduate Bursary in Political Science | Concordia University | Faculty of Arts and Science | Department of Political Science | |
| Historical Society's Prize | McGill University | Faculty of Arts | Department of History | |
| Honourable Marcel Danis Bursary | Concordia University | Faculty of Arts and Science | Department of Political Science | |
| Honourable Sheila Finestone Award in Women's Studies | McGill University | Faculty of Arts | | Women's Studies |
| Hope Barrington Scholarship | McGill University | Faculty of Arts | | |
| Howard E. Roseborough Prize | McGill University | Faculty of Arts | Department of Sociology | Honours Sociology, Sociology |
| Howard Weinroth Memorial Essay Prize | McGill University | Faculty of Arts | Department of History | History, Honours History |
| Hubert Marleau Prizes | McGill University | Faculty of Arts | Department of Economics | |
