The 1934–35 Cypriot Cup was the first edition of the Cypriot Cup. A total of 8 clubs entered the competition. It began on 4 November 1934 with the quarterfinals and concluded on 25 November 1934 with the replay final which was held at GSP Stadium. Enosis Neon Trust won their 1st Cypriot Cup trophy after beating APOEL 1–0 in the final.

This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. (May 2020)

In the 1934–35 Cypriot Cup, participated all the teams of the Cypriot First Division.

The competition consisted of three 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 match.

All games took place on 4 November 1934.

All games took place on 11 November 1934.

Because the match ended in a draw after the extra time, a replay match was played.

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Enosis Neon Trust	1–0	APOEL FC
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• "1934/35 Cyprus Cup". RSSSF. 2017-08-24. Retrieved 2017-08-24.

• Gavreilides, Michalis; Papamoiseos, Stelios (2001). Ένας αιώνας Κυπριακό ποδόσφαιρο [One century Cypriot football] (in Greek). Nicosia: The writer. p. 29. ISBN 9963-8720-1-8.
• Meletiou, Giorgos (2011). Κυπριακό ποδόσφαιρο 1900–1960 [Cypriot Football 1900–1960] (in Greek). Nicosia: Power Publishing. p. 284. ISBN 978-9963-688-87-6.
• Stephanides, Giorgos (2015). Μεγάλες Στιγμές Κυπριακού Ποδοσφαίρου 1934-2014 [Big moments of Cypriot Football 1934-2014]. Cyprus: Giorgos Stephanides. pp. 31–34. ISBN 978-9963-8841-3-1.

• Cypriot Cup
• 1934–35 Cypriot First Division