The 1963–64 Cypriot Cup was the 22nd edition of the Cypriot Cup.
A total of 7 clubs entered the competition.
It began with the first round on 10 June 1964 and concluded on 5 July 1964 with the final which was held at GSP Stadium (1902).
Anorthosis won their 1st Cypriot Cup trophy after beating APOEL 3–0 in the final.