| 1998 | Medal of Merit, State of Washington |
| 1996 | Honorary Degree, University of Warsaw |
| 1994 | Honorary Degree, University of Barcelona |
| Honorary Member, National Academia of Medicine, Mexico | |
| 1992 | Honorary Doctorate of Medicine, University of Parma |
| Honorary Member, The Royal College of Physicians and Surgeons of Canada | |
| Kober Medal, American Association of Physicians | |
| 1991 | Honorary Doctorate of Medicine, University of Verona |
| Adolfo Ferrata Lecture, Italian Society of Hematology, Verona, Italy | |
| 1990 | Presidential Medal of Science |
| Nobel Prize in Medicine | |
| North American Medical Association of Hong Kong Prize | |
| Gairdner Foundation International Award | |
| Terry Fox Award, Canada | |
| 1989 | Elected Corresponding Member, Academie Royale de Medecine de Belgigue |
| 1987-1988 | President, American Society of Hematology |
| 1987 | Karl Landsteiner Memorial Award, Annual Meeting of the American Association of Blood Banks |
| 1985 | Stanley Wright Memorial Lecturer, Annual Meeting of the Western Society for Pediatric Research |
| 1984 | Sixty-fifth Mellon Lecturer, University of Pittsburgh School of Medicine, May 13th |
| 1983 | Robert Roesler de Villiers Award, Leukemia Society of American |
| David A. Karnofsky Memorial Lecturer, Annual Meeting of the American Society of Clinical Oncology | |
| 1982 | Paul Aggeler Lecturer, University of California, San Francisco |
| Stratton Lecture, Internation Society of Hematology | |
| 1981 | Special Keynote Address Award, American Society of Therapeutic Radiologists |
| Honorary Doctorate of Medicine, University of Cagliari, Sardinia | |
| Kettering Prize of the General Motors Cancer Research Foundation for contributions to the diagnosis and treatment of cancer | |
| 1980 | American Cancer Society Award for Distinguished Service in Basic Research |
| 1979 | The Philip Levine Award, American Society of Clinical Pathologists, New Orleans |
| 1977 | The Lilly Lecture, Royal College of Physicians, London |
| 1975 | The Henry M. Stratton Lecture, American Society of Hematology, Dallas |
| A. Ross McIntyre Award, University of Nebraska Medical Center | |
| 1974 | First Annual Eugene C. Eppinger Lecture at Peter Bent Brigham Hospital and the Harvard Medical School |
| 1970-1974 | Clinical Cancer Investigation Review Committee, National Cancer Institute |
| 1969-1973 | Member, Board of Trustees and Medical and Scientific Advisory Committee, Leukemia Society of America, Inc. |
| 1965-1969 | Hematology Study Section, National Institutes of Health |