A control device includes an electronic control unit configured to selectively execute traveling in a first traveling mode and traveling in a second traveling mode, the first traveling mode being a traveling mode in which in a state where one engagement device is controlled so as to be engaged, a differential state is controlled by a first rotating machine to transmit torque of an engine, and the second traveling mode being a traveling mode in which in a state where the other engagement device is controlled so as to be engaged, a differential state is controlled to transmit torque of the engine, and perform switching to traveling in the second traveling mode in a case where a vehicle speed is equal to or higher than a predetermined vehicle speed when engine stop control that stops the engine is executed during traveling in the first traveling mode.