The invention relates to a process for improved control of the driving and/or braking force on the wheels of a vehicle, especially the driving wheels of total-adhesion railway traction vehicles, in order to achieve optimal adhesion, where the wheels are run within a narrow range of oscillation about the maximum of the adhesion-slip characteristic curve of the wheel-rail contact, either by continually increasing and then reducing the driving/braking force or by increasing and reducing the acceleration for a set rotational speed. To improve wheel-rail contact through concertedly higher wheel-slip by adapting processes with which each wheelset can be run at the limit of adhesion with minimum slip without using the measured value of speed over ground, the invention proposes that in each case only some of the vehicle's wheels/wheelsets are regulated to produce optimal maximum adhesion, while the others are subject to a desired wheel-slip control, wherein the measured wheel speed/rotational speed on the wheels/wheelsets at optimal adhesion serve as reference speed to which the wheel speed/rotational speed of the other wheels/wheelsets is ajusted after a desired slip rate has been added. Thus a continual, for example cyclical, alternation of wheelsets can be done with increased and little slip.