A drive arrangment for motor vehicles, comprising an automatically shifting transmission means and warm-up control means for raising the idling rotational speed of the driving engine during a warm-up phase, said transmission means including servo-means and command slide valve means, said servo-means being operable in a first position of the command slide valve means to be shifted into a position for the first speed of the transmission means and in a second position of the command slide valve means into a position for the second speed thereof, and kick-down solenoid controlling valve means operatively connected with the command slide valve means, said kick-down solenoid controlling valve means being operable to pass over in a shifting-down position upon an actuation of a kick-down switch, characterized in that a shifting-up relay means opening when energized, is connected in parallel to the kick-down switch, said shifting-up relay means including an energizing circuit, a further switch connected in said energizing circuit which is operable to close said energizing circuit upon actuation of a brake pedal in such a manner that the kick-down solenoid controlling valve means passes over into its shifting-up position during actuation of the brake pedal.