A control apparatus for a vehicle includes a vehicle driving control portion configured to permit reverse driving of the vehicle in a reverse direction while the automatic transmission is placed in a forward-drive low-speed gear position, with the motor/generator being operated in a negative direction to generate a negative torque, and a transmission shifting control portion configured to implement a control for promotion to establish the forward-drive low-speed gear position, when switching from forward driving of the vehicle to its reverse driving of the vehicle is required in the process of a shifting action of the automatic transmission to the forward-drive low-speed gear position. The transmission shifting control portion implements the control for promotion to establish the forward-drive low-speed gear position, according to a state of control of the engaging-side coupling device to be brought into its engaged state for establishing the forward-drive low-speed gear position.