A control apparatus for a vehicle that includes a drive-force transmitting apparatus and a hydraulic control unit. The drive-force transmitting apparatus defines a first transmitting path that is to be established by engagements of a first engagement device and a dog clutch, and a second transmitting path that is to be established by engagement of a second engagement device. When a rate of supply of a working fluid to the hydraulic control unit will be insufficient if at least two of a first engaging operation for engaging the first friction engagement device; a second engaging operation for engaging the second friction engagement device; a third engaging operation for engaging the dog clutch; and a shifting operation for executing a shifting action in a transmission mechanism of the drive-force transmitting apparatus are executed in an overlapped manner, the control apparatus executes these operations in accordance with an order of priority.