Liverpool defender Martin Skrtel and Napoli midfielder Marek Hamsik are both in Slovakia's squad for their first European Championship appearance.
Coach Jan Kozak announced his group 24 hours after Slovakia beat Germany 3-1.
Their first game is against Wales on 11 June while they face Russia on 15 June and England on 20 June.
Top scorer Robert Vittek did not make the squad, as the 23-goal Slovan Bratislava striker failed to recover from injury.
Goalkeepers: Matus Kozacik (Viktoria Plzen), Jan Mucha (Slovan Bratislava), Jan Novota (Rapid Vienna).
Defenders: Peter Pekarik (Hertha Berlin), Milan Skriniar (Sampdoria), Martin Skrtel (Liverpool), Norbert Gyomber (Roma), Jan Durica (Lokomotiv Moscow), Kornel Salata (Slovan Bratislava), Tomas Hubocan (Dynamo Moscow), Dusan Svento (Cologne).
Midfielders: Viktor Pecovsky (Zilina), Robert Mak (PAOK Thessaloniki), Juraj Kucka (AC Milan), Patrik Hrosovsky (Viktoria Plzen), Jan Gregus (Jablonec), Marek Hamsik (Napoli), Ondrej Duda (Legia Warsaw), Miroslav Stoch (Bursaspor), Vladimir Weiss (Al Gharafa).
Forwards: Michal Duris (Viktoria Plzen), Adam Nemec (Willem II), Stanislav Sestak (Ferencvaros).