Abstract: The electromagnetic brake comprises an electromagnet and a movable armature attracted by this electromagnet when the latter is energized and separated from the latter by spring means when the electromagnet is not energized. The electromagnet and the armature are each mounted hingeably between two pivoting arms carrying jaws intended to clamp an element to be braked. The brake comprises, moreover, a damping device offering resistance to the movements of the armature relative to the electromagnet so as to control and slow down the speed at which the brake is applied and released. The damping device is integrated inside the assembly consisting of the armature and the electromagnet.