The Czech Museum of Silver is housed in the Hrádek, a late Gothic palace built in the 15th century by the wealthy mine overseer Jan Smíšek on top of the old mine workings. The museum covers the full history of silver mining in Kutná Hora, from the discovery of the ore seams in the 13th century through the technical innovations that allowed ever deeper extraction, to the mine's final exhaustion in the early modern period.
The underground tour is the highlight: you descend with a guide through actual medieval mine tunnels, seeing the techniques used to extract ore and the conditions endured by miners who worked in these passages by candlelight in water up to their knees. The tour is physically accessible for most visitors (low ceilings, some stooping required) and lasts about an hour. Book in advance in summer as spaces are limited. The museum rooms above ground are worth seeing for the exhibits on the minting process and the economic history of the silver trade.