Abstract: A locking device for a cover of a glove compartment of a motor vehicle is positioned so as to swivel on an associated frame and is held in the closed condition by two locking sections of the locking bar engaging behind an associated locking contour on the frame. The locking bars can be synchronously displaced from their locked position to the release position in order to open the cover by way of an actuation element. In order to minimize installation space, especially in the area of the cover, the actuation element is positioned on the frame side and, for opening the cover, interacts with its locking section on the associated locking bar, displacing it in the opening direction, while the other locking bar is moved into its release position.