The Cuenca Museum is housed in the so-called Casa del Curato in Cuenca's old town (Spain). It was opened in 1974 and has three sections: archaeology, ethnology, and fine arts, though only the first was open to visitors in 2009. It also has an impressive numismatic collection.

The archaeology section is divided into three floors and presents archaeological finds as well as the history of Cuenca and its province:

The ground floor is devoted to prehistory, from the Paleolithic to the Iron Age. The finds from the Abrigo de Verdelpino (Valdecabras), a Neolithic period site on the Iberian Peninsula, are particularly noteworthy. The Bronze Age is represented by the Chillarón idol and the Carboneras sword, while the Iron Age is represented by a model from the Fuente de la Mota site (Barchn del Hoyo) and various finds from the Cerro de la Virgen necropolis (Alconchel de la Estrella).

The first floor is dedicated to the Roman world, with three rooms dedicated to the three most important Roman cities in the province of Cuenca: Segóbriga, Ercávica, and Valeria.

24 In them, in addition to a large number of materials discovered at the sites, it is possible to see how a Roman city was formed, what its public and private spaces were like, and what activities took place in them. The marble statue of Lucius Caesar is also noteworthy.

Second floor: The remains from the third to the eighteenth centuries are on display, and the materials show the ruralisation of the Roman world as well as the traces left by the Visigoths, Arabs, and later Christian settlers in Cuenca's territory.