The invention relates to a lockable glove and auxiliary compartment cover system for motor cars having a lock which is transferable into its tripping position by the stressing of a tripping lever by means of an actuating element. A closing member is provided which can be rotated between positions permitting and blocking the operative connection between the actuating element and the lock to change the security condition of the system. The change of the security condition occurs by means of a toothed-wheel gear which comprises a spur gear element rotatable with the closing element and a further gear element meshing with the spur gear element. In order to permit a handier arrangement of the actuating elements, the further gear element is likewise constructed as a rotatably mounted spur gear element, at least one of the spur gear elements, which belongs to a push-button, is guided for axial sliding, and a tripping stud protrudes eccentrically from the spur gear elements guided for axial sliding by means of which the tripping lever is pivotable in order to trip the lock.