A shifting actuator for a transmission including a ball screw drive, having an electric-motor-driven threaded spindle, a multi-part spindle nut, and rolling elements, namely balls, which roll between the threaded spindle and the spindle nut. The nut body has a ball groove, in which there roll balls that are also in contact with the threaded spindle, and is within the sleeve. The shift fork protrudes from the sleeve and is fixed relative to the sleeve and to the main nut body.