1973–74 Albanian Cup (Albanian: Kupa e Shqipërisë) was the twenty-second season of Albania's annual cup competition. It began on August 1973 with the First Round and ended on May 1974 with the Final match. The winners of the competition qualified for the 1974-75 first round of the UEFA Cup. KF Partizani were the defending champions, having won their tenth Albanian Cup last season. The cup was won by Dinamo Tirana.