A braking system including a parking braking device for a motor vehicle including at least a first electrically actuated parking brake intended to be positioned at a first wheel, a second electrically actuated parking brake intended to be positioned at a second wheel, a control unit configured to generate an order to the first and second parking brakes to apply a given parking brake force, and devices for determining a state of operation of each of the first and second electric parking brakes, the control unit being further configured, during a malfunction of the first parking brake, to generate the order to the second parking brake to apply at least said given parking braking force to ensure the immobilization of the motor vehicle, and including and at least two service brakes, the first and second parking brakes being integrated into the service brakes.