1939–40 Greek Football Cup
| Tournament details | |
|---|---|
| Country | Greece |
| Teams | 73 |
| Defending champions | AEK Athens |
| Final positions | |
| Champions | Panathinaikos (1st title) |
| Runners-up | Aris |
| Tournament statistics | |
| Matches played | 78 |
| Goals scored | 296 (3.79 per match) |
The 1939–40 Greek Football Cup was the fourth edition of the Greek Football Cup. The competition culminated with the Greek Cup Final, held at Leoforos Alexandras Stadium, on 2 June 1940. The match was contested by Panathinaikos and Aris, with Panathinaikos winning by 3–1.