While at Harvard, Aggrey became the first person in heptagonal track history to win three events - the long jump, high hurdles, and 60-yard dash, tying the heps record in the hurdles and setting the mark in the dash. He also ran on the victorious mile relay team that tied the heptagonal record. By the time he graduated from Harvard, Awori held three outdoor and five indoor school records. He also represented Uganda in the 110 metres hurdles at the 1960 Summer Olympics and the 1964 Summer Olympics, but failed to win any medals.