The highest point is the hill Rovnička at 502 m (1,647 ft) above sea level.

The first written mention of Radnice is from 1336, when King John of Bohemia sold it to the Rosenberg family.

[4] After the Battle of White Mountain, properties of the Czernin family were confiscated, and Radnice changed owners several times.

[7] The main landmark of the town centre is the Church of Saint Wenceslaus.

[8] On the hill above the town there is the Chapel of the Visitation of the Virgin Mary, designed by Kilian Ignaz Dientzenhofer.

The museum bears the name of its founder, teacher Josef Hylák, and focuses on the ethnography, history and nature of Radnice and its surroundings.