The 1967–68 Cypriot Cup was the 26th edition of the Cypriot Cup.
A total of 21 clubs entered the competition.
It began with the first round on 8 June 1968 and concluded on 7 July 1968 with the final which was held at GSP Stadium (1902).
APOEL won their 6th Cypriot Cup trophy after beating EPA 2–1 in the final.