It began on 1 May 1971 with the first round and concluded on 6 June 1971 with the replay final which was held at GSE Stadium.
Anorthosis Famagusta won their 5th Cypriot Cup trophy after beating Omonia 1–0 in the replay 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.