Montreal was awarded the rights to the 1976 Games in May 1970 over the bid of Moscow and Los Angeles , who later hosted the 1980 and 1984 Summer Olympic Games respectively . Montreal was awarded the rights to the 1976 Games on May 12 , 1970 , at the 69th IOC Session in Amsterdam , over the bids of Moscow and Los Angeles , which later hosted the 1980 and 1984 Summer Olympic Games respectively .