A hydraulic motor vehicle braking system comprises an electronic stability control (ESC) system of dual-circuit design, a first brake circuit which acts on one or more first wheel brakes, and a second brake circuit which acts on one or more second wheel brakes. The first brake circuit comprises a first hydraulic pressure generator which is electrically controllable for control interventions, and the second brake circuit comprises a second hydraulic pressure generator which is electrically controllable, independently of the first hydraulic pressure generator, for control interventions.