The Church of the Society of Jesus or Iglesia La Compaña de Jesœs is located next to the Cusco Cathedral in Plaza de Armas. Built in the late 16th century, the church was almost entirely ruined by the earthquake of 1650, but was rebuilt and finished 18 years later.

Like Cusco cathedral, La Compaña was also built on the site of an ancient palace, the Inca Huayna Cápac, which is said to be the most beautiful of all the Inca palaces.