A method to improve the braking behavior of a vehicle is provided, in which it is not permitted to exceed a maximum allowable braking pressure difference between the braking pressures on the two wheels of one axle, and in which the maximum allowable braking pressure difference between the wheels of one axle is a function of at least one variable describing the vehicle dynamics. When an unstable behavior of the vehicle is recognized, the maximum allowable braking pressure difference between the wheels of the axle is maintained or reduced.