A control apparatus for a vehicular drive system provided with a continuously-variable transmission portion operable as an electrically controlled continuously variable transmission, and a step-variable transmission portion, the continuously-variable transmission portion having a differential mechanism operable to distribute an output of an engine to a first electric motor and a power transmitting member, and a second electric motor disposed in a power transmitting path between the power transmitting member and a drive wheel of a vehicle, the control apparatus including a continuous-transmission control device including a first shifting control portion for controlling a speed ratio of the continuously-variable transmission portion, so as to prevent a change of a speed of the engine due to a change of an input speed of the step-variable transmission portion upon a shifting action of the step-variable transmission portion, and second shifting control portion for controlling the speed ratio of the continuously-variable transmission portion independently of the shifting action of the step-variable transmission portion, the continuous-transmission control means selectively activating the first shifting control portion and the second shifting control portion, on the basis of a manner in which an overall speed ratio of the transmission mechanism is changed.