The 1977–78 Cypriot Cup was the 36th edition of the Cypriot Cup. A total of 40 clubs entered the competition. 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.