The 1995–96 Cypriot Cup was the 54th edition of the Cypriot Cup. A total of 50 clubs entered the competition. It began on 11 November 1995 with the preliminary round and concluded on 29 May 1996 with the final which was held at Tsirion Stadium. APOEL won their 15th Cypriot Cup trophy after beating AEK 2–0 in the final after extra time.