1967–68 Albanian Cup (Albanian: Kupa e Shqipërisë) was the seventeenth season of Albania's annual cup competition. It began on August 1967 with the First Round and ended on May 1968 with the Final match. KF Partizani were the defending champions, having won their seventh Albanian Cup last season. The cup was won by KF Partizani.
The 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.