The community borders with the départements of Isère et the Hautes-Alpes (High-Alpes), between the massive mountains of Dévoluy in the east, the (valley) of Trièves in the north and the Diois in the west.

On the commune's northern border lies the mountain pass Col de la Croix Haute, through which route national 75 joins Marseille to Grenoble.

During the 11th and 12th centuries, Lus-la-Croix Haute belonged to the lordship of Trièves, which was the property of the ancient counts of Die.

One of their principal vassals and feudal-lords was the family Odde de Bonniot, co-lords of Vercors, which originated in Lus-la-Croix-Haute and its surroundings.

During the French Wars of Religion, they were displaced to the regions of Vivarais, Orange, Velay and to the Netherlands.