Tribe was born in 1941 in Shanghai, which was then part of the Republic of China but had been taken over by the Empire of Japan in 1937 following the Battle of Shanghai. He was the son of Paulina ("née" Diatlovitsky) and George Israel Tribe. His family is Jewish. His father was from Poland and his mother was born in Harbin, to immigrants from Eastern Europe. Tribe spent his early years in the French Concession of Shanghai before his family immigrated to the United States when he was six years old. His family settled in San Francisco, and he attended Abraham Lincoln High School.