1962–63 Cypriot Cup

The 1962–63 Cypriot Cup was the 21st edition of the Cypriot Cup. A total of 22 clubs entered the competition. It began with the first round on 12 May 1963 and concluded on 30 June 1963 with the final which was held at GSP Stadium. APOEL won their 5th Cypriot Cup trophy after beating Anorthosis 1–0 in the final.

Format
In the 1962–63 Cypriot Cup, participated the teams of the Cypriot First Division and the teams of the Cypriot Second Division.

The competition consisted of five knock-out rounds. 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. Each tie winner was qualifying to the next round. If a match was drawn, extra time was following. If extra time was drawn, there was a replay match.

The cup winner secured a place in the 1963–64 European Cup Winners' Cup.

Final
Because the match was drawn after extra time, a replay match was played.