The name Leynir should come from Lago Nero (Black Lake), referring to the color of a small lake located SE of the mountain. The name Punta del Leynir was adopted by the old maps of IGM. Giovanni Bobba and Luigi Vaccarone in their Guida delle Alpi Occidentali (Guide book to Western Alps) named the mountain Punta Vaudaletta, while in the technical map of Regione Autonoma Valle d'Aosta its name is Pointe du Leynir.