A brake system for motor vehicles may include an actuation device (e.g., brake pedal), a travel simulator to generate a feedback force on the actuation device, a first piston-cylinder unit having at least one piston that separates two working chambers that are connected via at least one hydraulic line to at least one wheel brake of a brake circuit, a control device and a pressure supply unit driven by an electric motor. At least one wheel brake may be assigned to each brake circuit, and each wheel brake may be connected to its associated hydraulic connecting line via a controllable switching valve. An outlet valve may be assigned to a single wheel brake or to a single wheel brake of each brake circuit in a hydraulic connection between the wheel brake and a pressure medium storage container, without any further valve disposed as such.