An elevator installation has braking equipment for braking and holding an elevator car which moves in vertical direction within guide tracks or rails. The braking equipment consists of at least two brake units each comprising a normal force regulation device that sets a normal force (FN) in correspondence with a normal force value determined by a brake control unit and/or a locking device that locks the brake unit in a set braking position and which preferably maintains the set braking position in the case of an interrupted energy supply. The braking equipment provides a gentle braking or holding of the elevator car, which corresponds with the operational state of the elevator installation, with a low energy requirement.