On the island of Krapanj the monastery of St. Cross has significant historical value, on whose place a church was constructed in 1523 and in 1937 contributed to the today's look of the monastery. In the monastery there are many valuable objects protected by the State.
The most valuable exhibits are "The Last Supper" (the 16th century) and "The Black Madonna on Throne" (Renaissance). In the monastery library there are other values, such as the Bible from 1474 and 23 incunabulae. There is also a little museum opened consisting the sponge, coral, amphorae and ancient pottery collections.