Uganda combined with their regional rivals Kenya and Tanzania to form the East Africa team. The first known match for this team was against a South African "Non-Europeans" team captained by Basil D'Oliveira in September 1958 in Nairobi, with the visitors winning by seven wickets. East Africa became an associate member of the ICC in 1966.
East Africa toured England in 1972 and the Marylebone Cricket Club played a first-class match against East Africa in January 1974, winning by 237 runs. The following year, East Africa played in the 1975 Cricket World Cup in England. After various warm-up games, including a 3 wicket win against Glamorgan, they played New Zealand, India and England in the World Cup itself, losing all three matches. The World Cup was followed by a first-class match against Sri Lanka at the County Ground, Taunton, which the Sri Lankans won by 115 runs. East Africa played in the ICC Trophies of 1979, 1982 and 1986, without qualifying for the World Cup from any of them.
Uganda continued playing their regular matches against Kenya and Tanzania, despite Kenya leaving the East Africa combination in and the triangular tournament became a quadrangular tournament in 1966 when Zambia joined in. From then until the tournament's end in 1980, Uganda won the tournament just once.