The 1995–96 Armenian Cup was the fifth edition of the Armenian Cup, a football competition. In 1995–96, the tournament had 24 participants, none of which were reserve teams.
Results
First round
Kapan-81, Vanadzor, Arabkir, Nairit, Karabakh Yerevan, Ararat Yerevan, Shirak and FC Yerevan received byes to the second round.
The first legs were played on 31 August 1995. The second legs were played on 14 September 1995.