A court in the capital accused them of helping to organise the protests and engaging in violence in the name of the Communist Marxist-Leninist Party (MLKP), CNN-Turk said on its website.
Another three were released but placed under judicial supervision, the report said.
Interior Minister Muammer Guler said the operation had been planned for about a year against the "terrorist" (MLKP), but that the suspects were also implicated in the protests, the most violent since Prime Minister Recep Tayyip Erdogan's Islamist-rooted government came to power in 2002,.
In Istanbul, 18 members of the small far-left Socialist Party of the Oppressed (ESP) were detained in the same operation on Friday and held for "belonging to a terrorist organisation" and "destroying public property".
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On Tuesday police had arrested dozens of ESP members and searched the offices of the Atilim newspaper and the Etkin news agency, both tied to the group.
Police moved in on June 15 to evacuate Gezi Park, the last stronghold of the anti-government protesters after a series of police crackdowns.
The protests claimed at least four lives and left thousands injured.