The original Orthodox monastery was founded ca. 1400 by Theodore, the son of Liubartas. Parts of the 15th century walls survive. The abbey was surrounded by a high rampart and a deep moat. The main church is dedicated to the Assumption of Mary. It was built after a Tatar raid in 1548 and looks like a small fortress. A two-storey bell tower from the 1630s stands nearby.
In the 18th century Univ housed a printing house. The monastery was disbanded in 1790. Mykhajlo Levitsky transformed the property into his residence. The moat was filled in and parts of the medieval wall were demolished. Levitsky's summer palace dates from the 1820s. The lavra was re-established in 1904 on the basis of the Krystinopil Basil Monastery by the Metropolitan Andrey Sheptytsky.