Hungary, drawn in Group F with Austria, Iceland and Portugal, also included a veteran presence in midfielder Zoltan Gera, who had been a fitness doubt after leaving a recent training camp with flu-like symptoms.
German Storck also included the versatile Gerg Lovrencsics and 22-year-old defender Barnabás Bese in a squad made up mainly of domestically-based players.
Hungary kick off their campaign against Austria on June 14 in Bordeaux.
Goalkeepers: Gábor Király (Haladás), Dénes Dibusz (Ferencváros), Péter Gulácsi (Leipzig)
Defenders: Attila Fiola (Puskás Akadémia), Barnabás Bese (MTK Budapest), Richárd Guzmics (Wisla Kraków), Roland Juhász (Videoton), Ádám Lang (Videoton), Tamás Kádár (Lech Pozna), Mihály Korhut (Debrecen)
Midfielders: Ákos Elek (Diósgyri), Ádám Pintér (Ferencváros), Zoltán Gera (Ferencváros), Ádám Nagy (Ferencváros), László Kleinheisler (Werder Bremen), Gerg Lovrencsics (Lech Pozna), Zoltán Stieber (Nürnberg)
Forwards: Balázs Dzsudzsák (Bursaspor), Ádám Szalai (Hannover), Krisztián Németh (al-Gharafa), Nemanja Nikolic (Legia Warszawa), Tamás Priskin (Slovan Bratislava), Dániel Böde (Ferencváros)
