A brake system for vehicles, in particular motor vehicles, including a master brake cylinder, in particular a tandem master brake cylinder, a brake booster which is connected upstream of the master brake cylinder, in particular at least four hydraulically actuatable wheel brakes, and a first electrohydraulic brake control device which includes a first pressure regulating valve arrangement for adjusting wheel-specific brake pressures, in particular an electrically actuatable pressure source, and a wheel-specific outlet pressure connection for each wheel brake, wherein the brake booster is designed to be electrically actuatable, and a second electrohydraulic brake control device is provided which includes a second pressure regulating valve arrangement, in particular for adjusting wheel-specific brake pressures, and which is connected in series between the first brake control device and the wheel brakes.