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The 1977–78 Cypriot Cup was the 36th edition of the Cypriot Cup. A total of 40 clubs entered the competition. It began on 14 December 1977 with the preliminary round and concluded on 11 June 1978 with the final which was held at GSP Stadium. APOEL won their 10th Cypriot Cup trophy after beating Olympiakos Nicosia 3–0 in the final.
In the 1977–78 Cypriot Cup, participated all the teams of the Cypriot First Division, the Cypriot Second Division and the Cypriot Third Division.
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.
The cup winner secured a place in the 1978–79 European Cup Winners' Cup.
In the preliminary round participated 7 teams of the 1977–78 Cypriot First Division, 5 teams of the 1977–78 Cypriot Second Division and 4 teams of the 1977–78 Cypriot Third Division.
| Team 1 | Result | Team 2 |
|---|---|---|
| (A) Alki Larnaca | 5 - 0 | Iraklis Gerolakkou (B) |
| (A) Anorthosis Famagusta | 14 - 1 | Olimpiada Neapolis (C) |
| (A) Apollon Limassol | 10 - 0 | Faros Acropoleos (C) |
| (C) Doxa Katokopias | 1 - 2 | Ermis Aradippou (B) |
| (A) EPA Larnaca | 7 - 1 | ASIL Lysi (B) |
| (B) Neos Aionas Trikomou | 0 - 2 | Digenis Akritas Morphou (A) |
| (A) AC Omonia | 13 - 2 | AEK Ammochostos (C) |
| (B) PAEEK | 0 - 1 | Nea Salamis Famagusta (A) |
9 clubs from the 1977–78 Cypriot First Division, 10 clubs from the 1977–78 Cypriot Second Division and 5 clubs from the 1977–78 Cypriot Third Division were added.
| Team 1 | Result | Team 2 |
|---|---|---|
| (A) Alki Larnaca | 2 - 0 | Adonis Idaliou (C) |
| (A) Anorthosis Famagusta | 1 - 1, 0 - 4 | Enosis Neon Paralimni (A) |
| (B) Omonia Aradippou | 0 - 1 | APOEL (A) |
| (A) Aris Limassol | 2 - 3 | AC Omonia (A) |
| (B) Ethnikos Assia | 0 - 1 | Ethnikos Achna (B) |
| (C) Achilleas Kaimakli | 1 - 6 | AEL Limassol (A) |
| (C) Anagennisi Deryneia | 1 - 0 | Parthenon Zodeia (B) |
| (C) ENAD Ayiou Dometiou | 0 - 1 | APOP Paphos (A) |
| (A) EPA Larnaca | 2 - 1 | Digenis Akritas Morphou (A) |
| (B) Ermis Aradippou | 1 - 0 | Akritas Chlorakas (B) |
| (B) Keravnos Strovolou | 3 - 2 | Evagoras Paphos (A) |
| (C) AEK Kythreas | 2 - 0 | AEM Morphou (B) |
| (B) Othellos Athienou | 3 - 1 | Orfeas Nicosia (B) |
| (A) Olympiakos Nicosia | 2 - 1 | Apollon Limassol (A) |
| (A) Nea Salamis Famagusta | 3 - 1 | Enosis Neon THOI Lakatamia (B) |
| (A) Chalkanoras Idaliou | 0 - 3 | Pezoporikos Larnaca (A) |
| Team 1 | Result | Team 2 |
|---|---|---|
| (A) AEL Limassol | 12 - 0 | Othellos Athienou (B) |
| (A) Alki Larnaca | 4 - 0 | AEK Kythreas (C) |
| (A) APOP Paphos | 0 - 2 | AC Omonia (A) |
| (B) Ermis Aradippou | 0 - 4 | EPA Larnaca (A) |
| (B) Keravnos Strovolou | 1 - 0 | Pezoporikos Larnaca (A) |
| (A) Olympiakos Nicosia | 2 - 1 | Ethnikos Achna (B) |
| (A) Enosis Neon Paralimni | 7 - 1 | Anagennisi Deryneia (C) |
| (A) Nea Salamis Famagusta | 0 - 0, 1 - 4 | APOEL (A) |
| Team 1 | Result | Team 2 |
|---|---|---|
| (A) AEL Limassol | 1 - 3 | Olympiakos Nicosia (A) |
| (A) Alki Larnaca | 0 - 1 | EPA Larnaca (A) |
| (A) APOEL | 1 - 0 | Keravnos Strovolou (B) |
| (A) Enosis Neon Paralimni | 1 - 3 | AC Omonia (A) |
| Team 1 | Result | Team 2 |
|---|---|---|
| (A) EPA Larnaca | 0 - 0, 0 - 1 | Olympiakos Nicosia (A) |
| (A) AC Omonia | 0 - 2 | APOEL (A) |
| Cypriot Cup 1977–78 Winners |
|---|
| APOEL 10th title |
