Abstract: For counteracting slipping and skidding in a motor-driven rail vehicle, the acceleration of the driving wheel is sensed and is used to control the torque of the driving motor. The arrangement includes a device which is responsive to an absolute value of the acceleration which exceeds a predetermined first value to reduce the torque, and to a decrease in the absolute value of the acceleration to a second value to increase the torque. The torque reducing arrangement reduces the torque at a predetermined rate until a low first torque value has been reached, then reduces the torque at a lower rate until the predetermined second low acceleration value is reached, and thereafter increases the torque, the reverse of this procedure is followed when increasing the torque.