It is the Orthodox male monastery, near the village of Dajbabe, after which it was named. It was founded in 1897., on a place that, according to God's providence, was miraculously given to the shepherd Petko from the nearby village of Dajbabe.

The Cathedral stands on the highest and oldest part of the town, and is also home to important historical and cultural buildings. It houses the administrative offices of the municipality, the ancient castle (known as the Colaneri palace) and, attached to the cathedral, the Curia building and the Episcopal seminary. Catholic life in Trivento is based in the oldest diocese in Molise, and the municipality has been an episcopal seat since the early Christian era. The cathedral church is dedicated to the patron saints Nazarius, Celsus and Victor: according to tradition, the relics of the martyr saints Nazarius and Celsus were donated by Saint Ambrose to the local church in 398. In 1726, the pope and martyr Saint Victor was also added to the two Milanese martyrs. Together with the cathedral's owners, Saint Casto, Trivento's legendary first bishop, is co-patron of the diocese.

The Capo San Vito lighthouse, with its 42-metre-high tower culminating in a rotating view, has been signalling the course of sailors landing at the mouth of the Gulf of Taranto since 1869.