The ruling, announced on Monday, effectively bans the group's activities within Russia, following a request from the General Prosecutor's Office.
This decision comes after a September judgment saw five members sentenced in absentia to up to 13 years in jail for allegedly spreading 'lies' about the Russian army.
Pussy Riot, whose members are currently outside Russia, gained global recognition in 2012 for a protest against President Vladimir Putin in a Russian Orthodox cathedral.
Nadya Tolokonnikova, the group's founder, dismissed the move, stating, 'If telling the truth is extremism, then we are happy to be extremists.'