In a parking lock for an automatic transmission, an electrical parking lock actuator has an electric motor, a spur gear stage driveable by the electric motor, and a worm gear stage driveable by the spur gear stage. A worm shaft of the worm gear stage is connected rotationally conjointly to an output gear of the spur gear stage, and a worm gear of the worm gear stage is connected rotationally conjointly to a transmission-side parking lock shaft. The worm shaft is fixed in an axially displaceable manner in the output gear. A stop limits the pivoting movement of the worm gear when a parking lock position of the parking lock shaft is reached. A spring braces the worm shaft in an axial direction of the worm shaft against a holding mechanism which is situated in a stop position, in which the holding mechanism is fixed by an electrically energized electromagnet.