An electronic brake system for a vehicle which has control modules for adjusting the braking force at the wheels of the vehicle, a control module which determines at least the driver's braking command, and at least one communications system which connects the modules to each other, where, to supply the elements with energy, at least two independent vehicle electrical systems (E.sub.1, E.sub.2) are provided, at least one of the elements being connected to an electrical system different from that to which the other elements are connected.