It began on 13 May 1973 with the preliminary round and concluded on 17 June 1973 with the final which was held at GSP Stadium.
APOEL won their 8th Cypriot Cup trophy after beating Pezoporikos Larnaca 1–0 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.
[1] In the preliminary round participated 8 teams of 1972–73 Cypriot Third Division.