* Gold-Headed Cane Award, University of California Medical School, 1946, presented to the graduating senior who most fully personifies the qualities of a "true physician."
* Modern Medicine Award, 1954, for outstanding contributions to heart disease research.
* The Lyman Duff Lectureship Award of the American Heart Association in 1965, for research in atherosclerosis and coronary heart disease; lecture published in 1966 as "Ischemic Heart Disease, Atherosclerosis, and Longevity," in Circulation 34: 679–697.
* The Stouffer Prize (shared) 1972, for outstanding contributions to research in arteriosclerosis.
* American College of Cardiology, 1974; selection as one of twenty-five leading researchers in cardiology of the past quarter-century.
* University of California, Berkeley, Bancroft Library, 1988; announcement of the "Gofman Papers" established in the History of Science and Technology Special Collection (October 1988, Bancroftiana, No. 97: 10–11). 
* Right Livelihood Award, 1992
* Honored Speaker for the Meeting of the Arteriosclerosis Section of the American Heart Association, 1993