The 1960–61 Cupa României was the 23rd edition of Romania's most prestigious football cup competition.
The title was won by Arieșul Turda against Rapid București.
It is the fourth season in the history of Cupa României when all the games are played on a neutral location.
In case the game is still tight after the replay, then the team from lower division will qualify for the next round.
From the first edition, the teams from Divizia A entered in competition in sixteen finals, rule which remained till today.