Babai, also Babaeus, was Catholicos of Seleucia-Ctesiphon and Patriarch of the Church of the East from 497 to 503. Under his leadership, the Church in Sasanian Empire (Persia) became increasingly aligned with the Nestorian movement, declared heretical in the Roman Empire.
Babai was also known as patriarch of Seleucia-Ctesiphon. When he became patriarch, he was married. With the permission of King Djamasp, Babai was allowed to call a synod (council) in 497/499, at which clerical celibacy was abolished, permitting priests and even bishops to marry. Babai died during the reign of King Kobad, during a time while Kobad was at war with the Byzantine Empire.