Abstract: To improve the control behavior of an ABS system, more particularly, to suppress the unwanted effects of individual disturbances in the road surface, when subsequent to a partial braking operation an anti-lock control operation commences on a front wheel and the acceleration of the controlled wheel detected is in excess of a predetermined limit value, a quotient (Q.sub.1,2) is calculated from the maximum brake slip and the duration of pressure reduction until the reacceleration of the front wheel concerned. As soon as this quotient (Q.sub.1,2) exceeds a predetermined limit value (Q.sub.grenz), this is taken as the indicator of a disturbance. Therefore, the braking pressure on the wheel where the single disturbance occurs is increased in the subsequent stable phase until the acceleration falls below a predetermined limit value.