A control device that includes an electronic control unit that is programmed to: perform shift device shift control in order to change a speed ratio, which is a ratio of a rotational speed of the internal combustion engine to a rotational speed of the output member, by changing at least the shift speed that is established by the shift device; and perform differential gear shift control in in order to change the speed ratio by changing rotational speeds of the first rotary element and the second rotary element of the differential gear unit without changing the shift speed that is established by the shift device.