A motor vehicle power train control device capable of furnishing set signals of torque applied to wheels of the motor vehicle. The control device includes a mechanism to generate a signal representing a limitation of variation in speed of a heat engine integrated in a power train capable of reducing variations that are disturbing with regard to acoustics of the power train, and includes a mechanism to determine an operating point of the power train in an optimal operating range according to the signal that represents limitation of speed. The mechanism for generating the signal that represents a limitation of variation in the speed of the heat engine integrated in the power train is furnished, at an input, by parameters that represent characteristics of the motor vehicle and by parameters that represent the driver's wishes.