It began on 14 December 1977 with the preliminary round and concluded on 11 June 1978 with the final which was held at GSP Stadium.
APOEL won their 10th Cypriot Cup trophy after beating Olympiakos Nicosia 3–0 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.