The 1936–37 Cupa României was the fourth edition of Romania's most prestigious football cup competition.
The title was won by Rapid București after a final against Ripensia Timișoara.
The competition is an annual knockout tournament with pairings for each round drawn at random.
From the first edition, the teams from Divizia A entered in competition in sixteen finals, rule which remained till today.
The format is almost similar with the oldest recognised football tournament in the world FA Cup.