A brake system for a two-axle vehicle having a master brake cylinder. The brake system includes at least one connected brake circuit, each having front and rear wheel brake cylinders, front wheel inlet and outlet valves, rear wheel inlet and outlet valves, an accumulator chamber, and a control device via which, by opening the at least one rear wheel outlet valve, a brake fluid pressed out of master brake cylinder is displaceable via the open rear wheel outlet valve into the respectively downstream disposed accumulator chamber. When the at least one front wheel outlet valve is kept closed or closed, the control device is configured to increase and limit a brake pressure prevailing in the respectively associated front wheel brake cylinder to an accumulator chamber pressure actively prevailing in the accumulator chamber of the same brake circuit by keeping open or opening the at least one front wheel inlet valve.