A control apparatus for a vehicle drive-force transmitting apparatus which defines a first drive-force transmitting path provided with a first clutch and a two-way clutch and a second drive-force transmitting path provided with a continuously variable transmission and a second clutch. The control apparatus switches the two-way clutch from its lock mode to its one-way mode, when the second drive-force transmitting path is to be established in place of the first drive-force transmitting path. The drive-force transmitting apparatus includes a hydraulic actuator configured to control switching of the two-way clutch between the lock mode and the one-way mode. When a request for establishing the second drive-force transmitting path in place of the first drive-force transmitting path is made during forward running of the vehicle with the two-way clutch being in the lock mode, the control apparatus executes a dither control for fluctuating a hydraulic pressure applied to the hydraulic actuator.