A control device that includes an electronic control unit that is programmed such that, when the internal combustion engine is started by the rotary electric machine while output torque from the rotary electric machine is transferred to the wheels in a state in which rotation of the internal combustion engine has been stopped, the electronic control unit: executes second slipping control in which the second engagement device is controlled into a slipping engagement state, executes first slipping control in which the first engagement device which has been in a disengaged state is controlled into a slipping engagement state during execution of the second slipping control, and controls an engagement pressure of the first engagement device so as to lower a rotational speed of the rotary electric machine in the first slipping control.