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1964–65 Albanian Cup (Albanian: Kupa e Shqipërisë) was the fifteenth season of Albania's annual cup competition. It began in August 1964 with the First Round and ended in May 1965 with the Final match. Partizani were the defending champions, having won their sixth Albanian Cup last season. The cup was won by Vllaznia.
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.
First round
Games were played in August 1964*
Results unknown
Second round
In this round entered the 16 winners from the previous round. First and second legs were played in January 1965.