WBA Bantamweight Champion from March 1975–November 1977, he made 10 successful defenses of his title.
He was a silver medalist at the 1972 Olympics in Munich as a Bantamweight.
He was inducted into the World Boxing Hall of Fame in 2005.
His father was also named Alfonso Zamora.
He and California-born fighter Bobby Chacon both made The Ring's list of the 100 Greatest Punchers of All Time.