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1961 Albanian Cup (Albanian: Kupa e Shqipërisë) was the twelfth season of Albania's annual cup competition. It began in Spring 1961 with the First Round and ended in May 1961 with the Final matches. Dinamo Tirana were the defending champions, having won their sixth Albanian Cup last season.
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.
First round
Games were played in March 1961*
Results unknown
Second round
All sixteen teams of the 1960 Superliga and First Division entered in this round. First and second legs were played in March 1961.