Cluny Museum - National Museum of the Middle Ages (Musée de Cluny-Musée National du Moyen Âge) The Musée de Cluny (French pronunciation: [myze də klyni]), officially Musée de Cluny-Musée National du Moyen Âge (lit. 'Cluny Museum-National Museum of the Middle Ages'), is a museum of medieval art in Paris. It is located in the 5th arrondissement of Paris, bordered by square Samuel-Paty to the south..