1971–72 Albanian Cup was the twentieth season of Albania's annual cup competition. It began in August 1971 with the First Round and ended in May 1972 with the Final matches. Dinamo Tirana were the defending champions, having won their seventh Albanian Cup last season. The cup was won by Vllaznia.
First round
Games were played in August 1971* • Results unknown ==Second round==
Second round
In this round entered the 16 winners from the previous round. First and second legs were played in January 1972. ==Quarter-finals==
Quarter-finals
In this round entered the 8 winners from the previous round. ==Semi-finals==
Semi-finals
In this round entered the four winners from the previous round. ==Finals==
Finals
In this round entered the two winners from the previous round. First leg Second leg ==References==