The unusually shaped square was originally called Cabbage Market or Horse Market, reflecting its former use. Today, it bears the name of politician and scholar František Ladislav Rieger, who lived here in one of the burgher houses (No. 161/11) as a deputy during the Imperial Assembly in Kroměříž in 1848–49.
The dominant feature of the upper part of the square is the Holy Trinity Column from 1725. The top is adorned with a sculpture group of the Holy Trinity, and at the base, on pedestals, stand statues of seven saints: Saint Anne, Saint Rosalia, Saint Eligius, Saint Wolfgang, Saint Sebastian, Saint Charles Borromeo, and Saint Francis Xavier.
The dominant feature of the lower part of the square is the Baroque Church of the Assumption of the Virgin Mary, with a preserved early medieval tower core. Next to it is the original section of the so-called separation wall with niches. Built inside the town walls in 1680, this wall separated the Jewish ghetto from the rest of the town. Another highlight of the lower part of Rieger Square is the fountain with its original Baroque central statue of a putto with a dolphin.
Commemorative plaques on the original tavern and burgher houses recall that, during the Imperial Assembly, not only František Ladislav Rieger lived here, but also many other important figures, such as František Jaroslav Čech (father of poet Svatopluk Čech), natural scientist Jan Svatopluk Presl, and playwright and journalist Josef Kajetán Tyl.
The square is part of the Urban Conservation Area.
