Abstract: A digital control apparatus for the running speed of a motor vehicle having an actual-value source, a memory for a demand-value which is proportional to the desired running speed, comparison means for executing an actual-value/demand-value comparison, and a setting device controlled by the output of the comparison means for controlling the throttle flap of an engine. Upon the actuation of a switch, the actual value is transferred into the demand-value memory apparatus and represents the running speed. To change the running speed by means of the control apparatus there is provided a second and auxiliary demand-value memory apparatus in which a ramp function is producible by means of a digital counting process. The given ramp value presents a supplementary demand-value during such an alteration of the running speed, i.e. the old running speed value is transformed into the new running speed value with the aid of the supplementary demand value.