A spindle drive for a movable component includes a threaded spindle which is rotatable about a spindle axis; a spindle nut which engages the threaded spindle; and a transmission element which can be connected to the movable component, the transmission element being fixed against rotation about the spindle axis and being axially drivable by rotation of the spindle nut. An intermediate element, which is fixed against rotation relative to the spindle nut, extends axially with respect to the threaded spindle and is rotatable relative to the threaded spindle. A drive is connected to rotate one of the intermediate element and the threaded spindle; and the other of the intermediate element and the threaded spindle can be fixed against rotation.