Terrence Allman Sullivan (born 7 September 1935) is a former middle-distance runner. He competed in the men's 1500 metres and 800 metres at the 1960 Summer Olympics, representing Rhodesia. He finished third in the 1962 British Empire and Commonwealth Games 1 mile competing for Rhodesia and Nyasaland. He also participated in the 880 yards in 1962, but was eliminated in the semi-finals. At the 1958 British Empire and Commonwealth Games, representing Southern Rhodesia, he finished fourth in the 880 yards and was eliminated in the heats of the 1 mile.