A control device controls a hybrid-four-wheel-driven vehicle wherein one of the front-wheel pair and the rear-wheel pair is an engine-driven-wheel pair which is driven by an engine, and the other pair is an electric-motor-driven-wheel pair which is driven by an electric motor. In the event of slipping of the engine-driven wheels, the system increases the engine output so as to increase the driving force of the electric-motor-driven wheels for increasing the total driving force made up of the engine-driven-wheel driving force and the electric-motor-driven-wheel driving force, thereby improving acceleration performance, unlike conventional techniques. This provides a control device for suppressing deterioration in acceleration performance of the vehicle in a case of slipping of engine-driven wheels during acceleration.