| Year: | 1961–62 |
| Country: | Cyprus |
| Num Teams: | 23 |
| Dates: | 17 February 1962 – 17 June 1962 |
| Winners: | Anorthosis (3rd title) |
| Next Season: | 1962–63 |
The 1961–62 Cypriot Cup was the 20th edition of the Cypriot Cup. A total of 23 clubs entered the competition. It began with the first round and concluded on 17 June 1962 with the final which was held at GSP Stadium. Anorthosis won their 3rd Cypriot Cup trophy after beating Olympiakos 5–2 in the final.
In the 1961–62 Cypriot Cup, participated the teams of the Cypriot First Division and the teams of the Cypriot Second Division.
The competition consisted of five 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.
| width=25% align="right" | Team 1 | width=22% align="center" | Result | width=30% align="left" | Team 2 |
|---|---|---|---|---|---|
| (A) AC Omonia | 11 - 2 | Gaydzak Nicosia (B) | |||
| (A) Anorthosis Famagusta | 19 - 0 | AEK Ammochostos (B) | |||
| (A) Apollon Limassol | 6 - 0 | Panellinios Limassol (B) | |||
| 0 - 9 | EPA Larnaca (A) | ||||
| (B) Amathus Limassol | 0 - 3 | Orfeas Nicosia (A) | |||
| (A) Pezoporikos Larnaca | 2 - 2, 4 - 0 | Aris Limassol (A) | |||
| 2 - 3 | Keravnos Strovolou (B) | ||||
| width=25% align="right" | Team 1 | width=22% align="center" | Result | width=30% align="left" | Team 2 |
|---|---|---|---|---|---|
| (A) AEL Limassol | 1 - 0 | Apollon Limassol (A) | |||
| (A) Anorthosis Famagusta | 5 - 1 | Alki Larnaca (A) | |||
| 0 - 7 | AC Omonia (A) | ||||
| 3 - 3, 0 - 2 | Orfeas Nicosia (A) | ||||
| (B) EPA Larnaca | 11 - 0 | APOP Paphos (A) | |||
| (B) Ethnikos Asteras Limassol | 2 - 5 | Pezoporikos Larnaca (A) | |||
| (A) Olympiakos Nicosia | 7 - 0 | AYMA (A) | |||
| (A) Nea Salamis Famagusta | 5 - 1 | Keravnos Strovolou (B) | |||
| width=25% align="right" | Team 1 | width=22% align="center" | Result | width=30% align="left" | Team 2 |
|---|---|---|---|---|---|
| (A) Anorthosis Famagusta | 1 - 0 | AC Omonia (A) | |||
| (A) AEL Limassol | 1 - 0 (aet) | EPA Larnaca (A) | |||
| 1 - 2 | Olympiakos Nicosia (A) | ||||
| 0 - 2 (aet) | Nea Salamis Famagusta (A) | ||||
| width=25% align="right" | Team 1 | width=22% align="center" | Result | width=30% align="left" | Team 2 |
|---|---|---|---|---|---|
| (A) Anorthosis Famagusta | 3 - 1 | AEL Limassol (A) | |||
| (A) Olympiakos Nicosia | 2 - 1 | Nea Salamis Famagusta (A) | |||