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.[1]
*The match was suspended at the 70th minute due to player incidends. That remained as the final score
*Apollon Volos won 1–2 after extra time but Niki Volos put an objection for illegal use of a player of Apollon and was awarded the match.
In the knockout phase, teams play against each other over a single match. If the match ends up as a draw, extra time will be played and if the match remains a draw a replay match is set at the home of the guest team which the extra time rule stands as well. That procedure will be repeated until a winner occurs. The mechanism of the draws for each round is as follows: