In order to achieve a vehicle wheel (10) slip relative to a roadway (12) while braking the vehicle, said slip being as advantageous as possible, the rotational speed (w) of the wheel (10) can be actively reduced by an ABS by means of a braking intervention and passively allowed to accelerate again via the roadway (12) when the brake is released. The slip of the wheel (10) oscillates by an optimal slip value during the ABS regulating process. The aim of the invention is to improve an anti-lock braking system for a vehicle. In the method according to the invention, at least one wheel (10) of the vehicle is supplied with a braking torque (Mb) in order to temporarily reduce a travel speed (v) of the vehicle relative to a rolling surface (12), said braking torque acting against a rotating direction (14) of the wheel (10). Additionally, the wheel (10) is temporarily supplied with an acceleration torque (Ma) by means of an accelerating device of the vehicle during the reduction of the travel speed (v), said acceleration torque acting in the rotating direction (14).