Career
Randolph had an outstanding amateur career. Randolph was a product of the Tacoma Boys Club amateur program, along with fellow Olympic Gold Medalist Sugar Ray Seales, and future world champions Rocky Lockridge and Johnny Bumphus. Randolph was trained as an amateur and professional by Joe Clough, the head trainer at the Tacoma Boys Club.
Olympic Results were as follows:
1st round bye
Defeated Massoudi Samatou (Togo) walkover
Defeated Constantin Gruescu (Romania) 4-1
Defeated David Larmour (Ireland) 4-1
Defeated Leszek Błażyński (Poland) 4-1
Defeated Ramón Duvalón (Cuba) 3-2
Randolph turned pro in 1978.
In his next fight, he lost his title to Sergio Víctor Palma via TKO in the 5th. Randolph retired after the bout.
Leo now resides in his hometown of Tacoma. After boxing, he started working for the Pierce Transit public bus company in 1988.
He works as a Transit Operator and supervisor.
2005 Inductee into the Tacoma-Pierce County Sports Hall of Fame.