An elevator cage is movable along at least two guide rails and the elevator cage is equipped with a braking system. The elevator braking device has a brake housing and a force store. The brake housing is mounted to be displaceable between a first position and a second position. The force store acts on the brake housing and pushes the brake housing in the direction of a second position. In addition, the elevator braking device includes an actuator which can act on the brake housing and keep the brake housing in a first position. The actuator in its first setting can hold the brake housing in the first position against the force of the force store. In a second setting the actuator enables pushing of the brake housing into the second position. A brake element is thereby brought into contact with the brake rail.