A cable actuator comprising a chassis (1), a screw (2) mounted rotatably on the chassis and driven by an electric motor, a nut (4) engaging with the screw and associated with anti-rotation means such that a rotation of the screw, under the action of the motor, results in an axial movement of the nut, and two substantially parallel cables (10) coupled to the nut on either side of same. The cables are linked to an anchoring member (20; 30; 40) that is interposed between the nut and the cables, the anchoring member being secured to the nut while also being movable relative to same.