The first written mention of Kunštát is from 1279, when the owner of the estate and the builder of the castle was Kuna and the settlement was named after him.

The Lambergs had the Kunštát Castle rebuilt into an early Baroque representative family residence.

The free lords of Honrichs of Wolfswarffen owned the estate from 1783 to 1901 and made a Neoclassical modification of the castle.

Other sights on the square are a statue of George of Poděbrady from 1885, a Baroque house from 1756, and the rectory from the late 18th century.

[8] In the local part of Rudka on the slope of Milenka hill is a complex with Burian observation tower and Blaník Knights Cave.

The landmark of the complex was a 14 metres (46 ft) high statue of Tomáš Garrigue Masaryk, but was destroyed during the World War II and only shoes are preserved.