The control device of the vehicle performs slip control for engaging the connection and disconnection clutch as an instruction hydraulic pressure for engaging the connection and disconnection clutch by the hydraulic control mechanism after the internal combustion engine is started by the starter, as an instruction hydraulic pressure for maintaining the speed of the internal combustion engine at a higher speed than a lower limit speed for avoiding the stop of the internal combustion engine. Further, the control device of the vehicle performs engagement completion control of raising an instruction hydraulic pressure for engaging the connection and disconnection clutch from an instruction hydraulic pressure in the slip control to an instruction hydraulic pressure for completing engagement of the connection and disconnection clutch when a difference between the speed of the internal combustion engine and the speed of the electric motor becomes smaller than a preset threshold value.