Brake system for a motor vehicle, having • a master brake cylinder which is able to be actuated by means of a brake pedal, • a first electrically controllable pressure-provision device , • a pressure-medium reservoir which is at atmospheric pressure, • a first brake circuit (I) with a first brake-circuit-pressure-line section for connection to first wheel brakes and a second brake circuit (II) with a second brake-circuit-pressure-line section for connection to second wheel brakes , wherein the master brake cylinder is connected to the first and the second brake-circuit-pressure-line section and the first pressure-provision device is connected to the first and the second brake-circuit-pressure-line section , • an inlet valve (6a-6d) and an outlet valve (7a-7d) for each first and second wheel brake , • a low-pressure accumulator for each brake circuit (I, II), which is connected to the output connections of the outlet valves assigned to the brake circuit, • a second electrically controllable pressure-provision device with a pump for each brake circuit (I, II), the suction side of which is connected to the brake-circuit-pressure-line section and the low-pressure accumulator of the brake circuit and the pressure side of which is connected to the inlet valves of the wheel brakes assigned to the brake circuit, • wherein the input connections of the inlet valves of the first wheel brakes are connected to the first brake-circuit-pressure-line section and the input connections of the inlet valves of the second wheel brakes are connected to the second brake-circuit-pressure-line section , wherein the inlet valves and outlet valves (6a-6d, 7a-7d), the low-pressure accumulators and the second pressure-provision device are arranged in a second independent module , wherein the first electrically controllable pressure-provision device is arranged in a first independent module and the master brake cylinder and a simulation device are arranged in a third independent module , wherein the pressure-medium reservoir is arranged on the first module , characterized in that no pressure-medium reservoir is arranged on the third module . • a master brake cylinder which is able to be actuated by means of a brake pedal, • a first electrically controllable pressure-provision device , • a pressure-medium reservoir which is at atmospheric pressure, • a first brake circuit (I) with a first brake-circuit-pressure-line section for connection to first wheel brakes and a second brake circuit (II) with a second brake-circuit-pressure-line section for connection to second wheel brakes , wherein the master brake cylinder is connected to the first and the second brake-circuit-pressure-line section and the first pressure-provision device is connected to the first and the second brake-circuit-pressure-line section , • an inlet valve (6a-6d) and an outlet valve (7a-7d) for each first and second wheel brake , • a low-pressure accumulator for each brake circuit (I, II), which is connected to the output connections of the outlet valves assigned to the brake circuit, • a second electrically controllable pressure-provision device with a pump for each brake circuit (I, II), the suction side of which is connected to the brake-circuit-pressure-line section and the low-pressure accumulator of the brake circuit and the pressure side of which is connected to the inlet valves of the wheel brakes assigned to the brake circuit, • wherein the input connections of the inlet valves of the first wheel brakes are connected to the first brake-circuit-pressure-line section and the input connections of the inlet valves of the second wheel brakes are connected to the second brake-circuit-pressure-line section , wherein the inlet valves and outlet valves (6a-6d, 7a-7d), the low-pressure accumulators and the second pressure-provision device are arranged in a second independent module , <EOS>