The 1986–87 Cypriot Cup was the 45th edition of the Cypriot Cup. A total of 57 clubs entered the competition. It began on 19 November 1986 with the first preliminary round and concluded on 20 June 1987 with the final which was held at Tsirion Stadium. AEL Limassol won their 5th Cypriot Cup trophy after beating Apollon 1–0 in the final.