The football competition began in August 1994 with the First Round and ended in May 1995 with the Final match.
Tirana were the defending champions, having won their eighth Albanian Cup last season.
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.
Games were played on August & September 1994 All sixteen teams of the 1993–94 Superliga and First Division entered in this round.