The police are interrogating Muhammad Riduansyah and five of his family members following his arrest at Juanda International Airport on Thursday.
Riduansyah is suspected of being a member of the Islamic State (IS) organisation.
East Java Police spokesperson Adj. Sr. Comr. Dwi Setyorini said Riduansyah was arrested when he was about to depart for Syria via Penang, Malaysia.
"He is on the National Police's most wanted list," she said here on Friday.
Riduansyah's official domicile is in Gunung Lingkas village, East Tarakan district, North Kalimantan.