A control apparatus for a vehicular drive system including an electric differential portion and a mechanical power transmitting portion which are disposed in series in a power transmitting path between an engine and a drive wheel of a vehicle, the control apparatus being configured to limit an output of the engine according to a difference between an actual rotating speed of an input rotary member of the mechanical power transmitting portion, and a theoretical rotating speed calculated from an actual vehicle speed and a presently established speed ratio of the mechanical power transmitting portion, whereby reduction of torque capacity of an input clutch provided in the mechanical power transmitting portion does not cause an excessive rise of the rotating speed of a rotary member which is located on one side of the input clutch nearer to the engine, and an excessive rise of the rotating speed of an electric motor connected to the input rotary member.