A control device for a vehicular drive system having (i) an engine, (ii) an electrically controlled differential portion operative to control an operating state of an electric motor connected to a rotary element of a differential mechanism for power-transmissive state for thereby controlling a differential state between a rotation speed of an input shaft connected to the engine, and a rotation speed of an output shaft, and (iii) a shifting portion forming a part of a power-transmitting mechanism between the electrically controlled differential portion and drive wheels, the control device including high-speed rotation preventing means for preventing high-speed rotations of each rotary elements of both the differential mechanism and the shifting portion, when a drop occurs or drop occurrence is predicted, in a supplied hydraulic pressure applied to a hydraulically operated frictional engaging device of the shifting portion, to a level less than a given value, wherein the high-speed rotation preventing means reduces torque or rotation speed of an input shaft of the shifting portion by controlling the engine or the electric motor.