The 1975–76 Cypriot Cup was the 34th edition of the Cypriot Cup. A total of 35 clubs entered the competition. It began on 8 May 1976 with the preliminary round and concluded on 27 June 1976 with the final which was held at Tsirio Stadium. APOEL won their 9th Cypriot Cup trophy after beating Alki Larnaca 6–0 in the final.
The competition consisted of six knock-out rounds. In all rounds each tie was played as a single leg and was held at the home ground of one of the two teams, according to the draw results. Each tie winner was qualifying to the next round. If a match was drawn, extra time was following. If extra time was drawn, there was a replay at the ground of the team who were away for the first game. If the rematch was also drawn, then extra time was following and if the match remained drawn after extra time the winner was decided by penalty shoot-out.
Gavreilides, Michalis; Papamoiseos, Stelios (2001). Ένας αιώνας Κυπριακό ποδόσφαιρο [One century Cypriot football] (in Greek). Nicosia: The writer. pp. 98–99. ISBN9963-8720-1-8.
Stephanidis, Giorgos (2003). 40 χρόνια κυπριακές ομάδες στην Ευρώπη [40 years Cypriot teams in Europe] (in Greek). Nicosia: Haravgi. p. 93. ISBN9963-8841-1-3.
