Torigni-sur-Vire (, "Torigni-on-Vire"), also known as Torigny, is a former commune in the Manche department, Normandy, northwestern France. It was reformed in 2016 to create Torigny-les-Villes and houses that commune's seat of government. The town is home to the Château des Matignon.
During the Middle Ages, Torigni was a lordship () within the Duchy of Normandy. Margaret of Burgundy sold it to Pierre the Fat, chamberlain of PhilipIV, for 9500 (about of fine silver). It was also the home of the 12th-century chronicler Robert of Torigni.
On 1 January 2016, it was merged into the new commune of Torigny-les-Villes.