It began on 15 April 1972 with the first round and concluded on 12 June 1972 with the final which was held at GSP Stadium.
Omonia won their 2nd Cypriot Cup trophy after beating Pezoporikos Larnaca 3–1 in the final.
In all rounds each tie was played as a single leg and was held at the home ground of one of the two teams, according to the draw results.
If extra time was drawn, there was a replay at the ground of the team who were away for the first game.
If the rematch was also drawn, then extra time was following and if the match remained drawn after extra time the winner was decided by penalty shoot-out.