He competed over 400 metres individually and in the relay at the 1979 Central American and Caribbean Championships in Athletics and took gold medals in both events. Bradford was chosen for the 200 m as well as both the 100 and 400 m relays at the 1980 Moscow Olympics, but was eliminated in the heats stages of all three events. The following year he won the 100 m title at the 1981 Central American and Caribbean Championships in Athletics and formed part of the Americas 4×400 m relay team for the 1981 IAAF World Cup. His final global competition was the 1983 World Championships in Athletics, where he ran in the heats of the 200 m and anchored a Jamaican team of George Walcott, Ray Stewart and Leroy Reid to seventh place in the 4×100 metres relay final.