Double signed photo Muhammad Ali vs Joe Frazier fight 1971 Fight of the century Joe Frazier vs. Muhammad Ali, billed as The Fight of the Century or simply The Fight, was an undisputed heavyweight boxing match between WBA, WBC and The Ring heavyweight champion Joe Frazier and Lineal champion Muhammad Ali, on Monday, March 8. 1971, at Madison Square Garden in New York City. Purchased from Park West Galleries (United States).