A rack includes a compartment which has an open face for inserting and removing luggage, a lower face and an end wall opposite the open face. This compartment is mounted such that it can pivot about a fixed pivot axis between an open position in which the open face of the compartment is accessible, and a closed position in which the open face of the compartment is retracted. It also includes a door that is pivot-mounted in such a way that this door impedes access to the open face when the compartment is in the closed position and allows free access to this face when the compartment is open. A connection mechanism connects the door and the compartment of the luggage rack in such a way that the pivoting movement of the compartment causes the door to pivot.