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2001–02 Albanian Cup (Albanian: Kupa e Shqipërisë) was the 50th season of Albania's annual cup competition. It began on August 18, 2001, with the First Round and ended on June 1, 2002, with the Final match. The winners of the competition qualified for the first round of the 2002-03 UEFA Europa League. Tirana were the defending champions, won their eleventh Albanian Cup this season. The cup was won by Tirana.
The rounds were played in a two-legged format similar to those of European competitions. If the aggregated score was tied after both games, the team with the higher number of away goals advanced. If the number of away goals was equal in both games, the match was decided by extra time and a penalty shootout, if necessary.
All sixteen teams of the 2000–01 Superliga and First Division entered in this round. First legs were played on January 26, 2002, and the second legs were played on February 1, 2002.