An electrohydraulic brake system includes an electromechanical actuator for actuating at least one hydraulic piston to provide a hydraulic pressure at one or more of a plurality of wheel brakes. The brake system further includes electrically activatable valve arrangements having a first valve arrangement between a cylinder accommodating the at least one hydraulic piston and each of the plurality of wheel brakes, and at least one second valve arrangement. The second valve arrangement is provided between a receptacle device for hydraulic fluid and at least one of the wheel brakes. The second valve arrangement is provided in parallel with the first valve arrangement associated with the same wheel brake as the second valve arrangement. The brake system also includes a control device or system that opens one of the first valve arrangements and the second valve arrangement connected in parallel therewith, in order to release a hydraulic pressure built up in the cylinder.