Motor vehicle brake, in particular motor vehicle brake which can be actuated hydraulically and electromechanically in a combined manner, with an actuator assembly comprising: - a housing, - an actuator which can be moved relative to the housing for the hydraulic or electromechanical movement of a brake lining, - a motorized drive which has an electric motor, - a movement mechanism which is arranged between the motorized drive and the movable actuator, - a transmission arrangement which is assigned to the movement mechanism, and - a separate self-locking apparatus which is configured to block the movement mechanism if required, the movement mechanism having a ball screw drive with a spindle and a nut, it being possible selectively for the one component of spindle and nut to be driven rotationally and for the respective other component of spindle and nut to be moved in a linear manner within the housing for the movement of the actuator by way of rotational driving of one component of spindle and nut, characterized in that the transmission arrangement has three transmission stages (GS1, GS2, GS3) and a planetary transmission mechanism, an output shaft of the electric motor having a sun gear of the planetary transmission mechanism, an internal gear of the planetary transmission mechanism being arranged fixedly on the housing, and planetary gears of the planetary transmission mechanism being mounted rotatably on a planetary carrier which is mounted rotatably in the housing, and the self-locking apparatus being arranged in or on the transmission arrangement in such a way that at least two transmission stages (GS2, GS3) are arranged between the ball screw drive and the self-locking apparatus. - a housing, - an actuator which can be moved relative to the housing for the hydraulic or electromechanical movement of a brake lining, - a motorized drive which has an electric motor, - a movement mechanism which is arranged between the motorized drive and the movable actuator, - a transmission arrangement which is assigned to the movement mechanism, and - a separate self-locking apparatus which is configured to block the movement mechanism if required, the movement mechanism having a ball screw drive with a spindle and a nut, it being possible selectively for the one component of spindle and nut to be driven rotationally and for the respective other component of spindle and nut to be moved in a linear manner within the housing for the movement of the actuator by way of rotational driving of one component of spindle and nut, characterized in that the transmission arrangement has three transmission stages (GS1, GS2, GS3) and a planetary transmission mechanism, an output shaft of the electric motor having a sun gear of the planetary transmission mechanism, an internal gear of the planetary transmission mechanism being arranged fixedly on the housing, and planetary gears of the planetary transmission mechanism being mounted rotatably on a planetary carrier which is mounted rotatably in the housing, and the self-locking apparatus being arranged in or on the transmission arrangement in such a way that at least two transmission stages (GS2, GS3) are arranged between the ball screw drive and the self-locking apparatus.