A control apparatus for a vehicular drive system including a continuously-variable transmission portion, 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 step-variable transmission portion constituting a part of the power transmitting path, the control apparatus includes a differential-state limiting device provided in the differential mechanism for limiting an operation of the continuously-variable transmission portion, and an electric-motor control device to control a drive-force assisting operation to drive the vehicle during a shifting action of the step-variable transmission portion, differently depending upon whether the continuously-variable transmission portion is placed in a continuously-variable shifting state or a non-continuously-variable shifting state.