The 1972–73 Cupa României was the 35th edition of Romania's most prestigious football cup competition.
The title was won by Chimia Râmnicu Vâlcea against Constructorul Galați.
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 team from the lower division will qualify.
From the first edition, the teams from Divizia A entered in competition in sixteen finals, rule which remained till today.