The museum of Kihnu was established in 1974 into the old schoolhouse. Expositions are divided between four rooms. Two of them are dedicated to the everyday life of the island through centuries: tools, clothes, handicrafts, furniture. The other two are dedicated to the local representatives of naïve art and to other famous men from Kihnu: Theodor Saar, a researcher in the studies of local lore; Enn Uuetoa, a captain and Peeter Rooslaid, a silversmith. All in all the funds of the museum include 700 items. The museum has also a collection of paintings by naivist painters of Kihnu origin and many works by the most famous painter Jaan Oad.
The Church of St Donatus name refers to Donatus of Zadar, who began construction on this church in the 9th century and ended it on the northeastern part of the Roman forum. It is the largest Pre-Romanesque building in Croatia.
The beginning of the building of the church was placed to the second half of the 8th century, and it is supposed to have been completed in the 9th century. The Zadar bishop and diplomat Donat (8th and 9th centuries) is credited with the building of the church. He led the representations of the Dalmatian cities to Constantinople and Charles the Great, which is why this church bears slight resemblance to Charlemagne's court chapels, especially the one in Aachen, and also to the Basilica of San Vitale in Ravenna. It belongs to the Pre-Romanesque architectural period.
The circular church, formerly domed, is 27 m high and is characterised by simplicity and technical primitivism.