1994–95 Albanian Cup (Albanian: Kupa e Shqipërisë) was the forty-third season of Albania's annual cup competition. The football competition began on August 1994 with the First Round and ended on May 1995 with the Final match. The winners of the competition qualified for the 1995-96 first round of the UEFA Cup. KF Tirana were the defending champions, having won their eighth Albanian Cup last season. The cup was won by KS Teuta.
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.