The invention relates to a roll stabilizer for the chassis of a motor vehicle, comprising an actuator (3), which is mounted between anti-roll bar halves (1, 2) and which rotates these about a rotation axis in opposite directions as necessary. The curved path carriers (4, 5) of the actuator that are assigned to the roll stabilizer halves (1, 2) are each provided with a curved path (17, 18) inside of which a coupling element (13) is guided that can be displaced along these curved paths (17, 18) via an actuating drive (7, 10). The U-shaped or V-shaped curved path (18) of one curved path carrier (5) has two curved path branches (19, 20) that are arranged in a mirror symmetric manner in relation to a longitudinal central plane containing the rotation axis of the actuator (3).