A stop module has a base body, a stop element configured for objects moving in a direction of motion in a movement plane and located on the base body, a drive device for moving the stop element between a first terminal position, in which the stop element protrudes into the movement plane of the objects, and a second terminal position, in which the stop element enables a motion of objects in the movement plane, and a damping device cooperating with the stop element for damping a motion of the stop element from a first stop position into a second terminal stop position, which is offset relative to the first stop position at least approximately in the direction of motion of the objects, when an object is resting on the stop element, the damping device being configured so as to damp the motion of the stop element from the first stop position to the second terminal stop position with a rotation damper.