Sirima Sunawin said the five are Ong-art Klampaiboon, Boonyod Sukthinthai, Tossapon Pengsom, Charnwit Wipusiri and Nattaya Benjasiriwan.
The five are scheduled to meet special investigative police on Wednesday.
Sirima said the rest of the rally leaders, including National Security Chief Tawil Pliensri, should surrender themselves within this week otherwise police will submit their cases to public prosecutors for further legal action.