The Russian punk band will appear in conversation twice during the festival, on the Park Stage on Saturday, June 27, and the Left Field on Friday, June 26.
Burt Bacharach, The Proclaimers, The Cribs and Wilko Johnson have also been added to the bill.
They join Pyramid Stage headliners Foo Fighters, Kanye West and The Who.
Pussy Riot’s Nadezhda Tolokonnikova and Maria Alyokhina were released from a Russian prison last year after 21 months, having been convicted of hooliganism over protests in Moscow.
They were among five members of the radical group to stage a “punk prayer” in Moscow’s biggest cathedral.
Singer-songwriter and activist Billy Bragg, who hosts Glastonbury’s Left Field, tweeted: “Pleased to announce that Nadya and Masha from Pussy Riot will be speaking at Left Field @GlastoFest 1.30pm Friday.”
Nadezhda Tolokonnikova and Maria Alyokhina recently appeared as themselves in hit Netflix political series House of Cards, where they staged a protest against fictional Russian president, the Putin-esque Viktor Petrov, at a dinner party.
Glastonbury organizers revealed set times for all of the stages, including a mammoth slot for Friday night headliners Foo Fighters.
They will play the Pyramid Stage from 21:15-23:45 BST – an hour longer than Kanye West is scheduled to perform for the following night and 30 minutes longer than Sunday night headliners The Who.
Surprise additions included a favorite of organizer Emily Eavis who tweeted: “And very excited about Burt Bacharach!”
Burt Bacharach will play the Pyramid Stage, as will the Burtle Silver Band and ballet group the Michael Clark Company.
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