 Cuénod's recording of Erik Satie's "Socrate" in the 1970s, released on Nimbus Records, won the Grand Prix du Disque Mondiale award at the Montreux Music Festival.In 1976 he was awarded the Chevalier des Arts et des Lettres.On his centenary in 2002, he was awarded the World of Song award by the Lotte Lehmann Foundation.