A locking apparatus with tumbler for safety doors has a door part for fastening on a movable safety door and has a frame part for fastening on a door counterpart. The frame part has a receptacle and the door part has an actuator configured to be inserted into the receptacle. The frame part further has a blocking member which is displaceable between a release position, in which the actuator can be released in, and a blocking position in which the actuator is secured in the receptacle. The actuator is arranged on the door part via an elastic compensating element.