A total of 7 clubs entered the competition.
It began on 24 January 1937 with the quarterfinals and concluded on 28 February 1937 with the final which was held at GSP Stadium.
APOEL won their 1st Cypriot Cup trophy after beating Enosis Neon Trust 2–1 in the final.
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.
If extra time was drawn, there was a replay match.