1977–78 Greek Football Cup
The 1977–78 Greek Football Cup was the 36th edition of The Greek Football Cup, or Greek Football Cup.
The competition culminated with the Greek Cup Final, held at Georgios Karaiskakis Stadium, Piraeus on 4 June 1978. The match was contested by AEK Athens and PAOK, with AEK Athens winning 2-0.First round
| Home team | Score | Away team |
| Kavala | 1-0 | Proodeftiki |
| Panathinaikos | 9-0 | Thyella Serres |
| Panthrakikos | 4-2 | Chalkida |
| Olympiacos Volos | 6-0 | Atromitos Piraeus |
| Fostiras | 0-1 | Olympiacos |
| PAO Agios Dimitrios | 2-1 | Niki Volos |
| Larissa | 2-1 | Almopos Aridea |
| PAS Giannina | 1-0 | Panarkadikos |
| Iraklis | 1-0 | Olympiacos Liosia |
| Pandramaikos | 3-0 | Ilisiakos |
| PAOK | 6-1 | Levadiakos |
| Ethnikos Asteras | 1-2 | Aris |
| Panachaiki | 3-1 | Makedonikos |
| Veria | 1-0 | Kastoria |
| Korinthos | 5-0 | Egaleo |
| Naoussa | 0-2 | Kallithea |
| Panetolikos | 4-2 | Elassona |
| Ethnikos | 4-0 | Anagennisi Karditsa |
| Mesologgi | 0-1 | Trikala |
| Xanthi | 1-0 | Doxa Drama |
| Anagennisi Epanomi | 2-1 | Kilkisiakos |
| AEK | 6-1 | Chania |
| OFI | 5-0 | Pierikos |
| Apollon Kalamaria | 3-0 | Lamia |
| Panelefsiniakos | 4-2 | Ionikos |
| Panionios | 0-0 | Irodotos |
| Edessaikos | 1-1 | Rodos |
| Panserraikos | 0-0 | Atromitos |
| A.F.C. Patra | 1-1 | Apollon Athens |
Second round
| Home team | Score | Away team |
| Ethnikos Piraeus | 1-0 | Panetolikos |
| Korinthos | 0-2 | Veria |
| Panathinaikos | 0-1 | AEK Athens |
| Trikala | 2-5 | Olympiacos |
| PAS Giannina | 3-2 | Rodos |
| Pandramaikos | 1-0 | Apollon Athens |
| PAOK | 4-1 | Olympiacos Volos |
| PAO Agios Dimitrios | 0-1 | Larissa |
| Iraklis | 1-0 | Kallithea |
| Xanthi | 1-0 | Panserraikos |
| Anagennisi Epanomi | 0-1 | Aris |
| Kavala | 1-0 | OFI |
| Panthrakikos | 0-0 | Apollon Kalamaria |
| Panionios | bye | |
| Panachaiki | bye | |
| Panelefsiniakos | bye | |
Third round
| Home team | Score | Away team |
| AEK Athens | 3-0 | Panionios |
| PAS Giannina | 5-0 | Xanthi |
| Ethnikos Piraeus | 2-5 | Aris |
| Iraklis | 0-1 | PAOK |
| Pandramaikos | 0-1 | Kavala |
| Veria | 4-1 | Panthrakikos |
| Panelefsiniakos | 4-2 | Larissa |
| Panachaiki | 0-0 | Olympiacos |
Quarter-finals
| Home team | Score | Away team |
| Kavala | 2–3 | Aris |
| PAOK | 5–0 | Veria |
| Panelefsiniakos | 2–4 | AEK Athens |
| Olympiacos | 2–1 | PAS Giannina |
Semi-finals
| Home team | Score | Away team |
| AEK Athens | 6–1 | Olympiacos |
| Aris | 0–1 | PAOK |
The 34th Greek Cup Final was played at the Georgios Karaiskakis Stadium, Piraeus.
