The 1965–66 Cupa României was the 28th edition of Romania's most prestigious football cup competition.
The title was won by Steaua București against UTA Arad.
First round proper matches are played on the ground of the lowest ranked team, then from the second round proper the matches are played on a neutral location.
From the second round proper, if a match is drawn after 90 minutes, the game goes in extra time, and if the scored is still tight after 120 minutes, then the younger team (the lower average of players age) will qualify.
From the first edition, the teams from Divizia A entered in competition in sixteen finals, rule which remained till today.