Abstract: A process for braking a vehicle which comprises applying to a front axle group and to a rear axle group front axle brake pressure (p.sub.1) and rear axle brake pressure (p.sub.2) in accordance with wear-optimized curves when a deceleration command signal (S) is less than or equal to a predetermined switch-over deceleration command signal (S.sub.1). When the deceleration command signal (S) is greater than the switch-over deceleration command signal (S.sub.1), the front axle brake pressure (p.sub.1) and the rear axle brake pressure (p.sub.2) are applied in accordance with parabolas which pass smoothly through a point on the wear-optimized curves which corresponds to the switch-over deceleration command signal (S.sub.1), and at least one point on curves for equal adhesion utilization of the front axle group and the rear axle group, which point corresponds to a second deceleration command signal (S.sub.2).