The arrests came on Friday morning in a nationwide operation carried out by Turkish Special Forces, the state-run Anatolia news agency reported.
Over the course of the operation the police also discovered a number of documents linking the suspects to the banned group, Security officials say.
The London-based Hizb ut-Tahrir, originally founded in 1953 in Palestine, seeks to unite Muslims into a pan-Islamic state but says its means are peaceful.
Although the group insists it does not support terrorism, it is outlawed as a religious extremist group in Turkey and a number of other countries.
Uzbekistan has accused Hizb ut-Tahrir of involvement in the 2004 bombings in its capital Tashkent, a claim the group denies.