A control apparatus for a vehicle that includes (i) a first engagement device configured to connect and disconnect an engine and an electric motor to and from each other, and (ii) a second engagement device configured to connect and disconnect the electric motor and drive wheel to and from each other. In event of a failure of the second engagement device, the control apparatus is configured to forcibly bring the second engagement device into an engaged state and to bring the first engagement device into an engaged state, so as to cause the vehicle to perform a limp-home running in a first running mode in which the vehicle runs using at least the engine. When a running speed of the vehicle becomes lower than a predetermined low-speed threshold value during the limp-home running, the control apparatus is configured to bring the first engagement device into a released state.
