Partizani were the defending champions, having won their twelfth Albanian Cup last season.
[1] The first round was played in a single round-robin matches within 8 qualifying groups.
The other rounds were played in a one-legged format similar to those of European competitions.
If the number of goals was equal, the match was decided by extra time and a penalty shootout, if necessary.
Games were played on August & September 1991 All sixteen teams of the 1990–91 Superliga and First Division entered in this round.