2019–20 Albanian Cup is the sixty-eighth season of Albania's annual cup competition. Kukësi are the defending champions. Teuta won the cup for the fourth time in their history.
Format
Ties are played in a two-legged format similar to those of European competitions. If the aggregate score is tied after both games, the team with the higher number of away goals advances. If the number of away goals is equal in both games, the match is decided by extra time and a penalty shoot-out, if necessary. ==Preliminary round==
Preliminary round
In order to reduce the number of participating teams for the first round to 32, a preliminary tournament is played. In contrast to the main tournament, the preliminary tournament is held as a single-leg knock-out competition. Matches were played on 4 September 2019. ==First round==
All eight qualified teams from the second round progressed to the quarter-finals. The first legs were played on 11 June 2020 and the second legs took place on 24 June 2020. Tirana advanced to the semi finals. Teuta advanced to the semi finals. Kukësi advanced to the semi finals. Bylis advanced to the semi finals. ==Semi-finals==
Semi-finals
The first legs were played on 2 July and the second legs were played on 15 July 2020. Teuta advanced to the final. Tirana advanced to the final. ==Final==