A control apparatus for a vehicular drive system provided with a step-variable transmission portion operable to transmit an output of an engine to a drive wheel of a vehicle and functioning as a step-variable transmission, and an input clutch operable to permit and inhibit an input of a drive force from the engine to the step-variable transmission portion, the control apparatus including an input-clutch control portion operable to reduce a torque capacity of the input clutch, during a shifting action of the step-variable transmission portion, for limiting a torque to be transmitted to the step-variable transmission portion, to a value not larger than a predetermined value.