The two-storey cloister of the monastery, which has large capitals with carved scenes, and also relief panels, is considered a masterpiece of Romanesque art, and has been written about extensively, notably by Meyer Schapiro in his "Romanesque Art" (1977). The capitals in the lower cloister are decorated with dragons, centaurs, lattices, and mermaids. There is also an important Romanesque free-standing enthroned Madonna and Child. The cloisters are the only surviving part of the monastery that hasn't changed since its inception. The cloister is an angled rectangular shape with 16 semi-circular arches on the north and south sides and 14 semi-circular arches on the west and east sides. The lower storey was begun during the last quarter of the 11th century and completed in the second half of the 12th century. The lower storey's date derives from an epitaph of the eponymous Santo Domingo, who died in 1073, which is located on the abacus of a group of four capitals in the north gallery. The cloister was dedicated on September 29, 1088. Additionally, the upper story of the cloister, which was placed upon the wooden vaulting of the first story, was completed during the 12th century.