CONTROL DEVICE OF HYBRID VEHICLE AND CONTROL METHOD

A control device of a hybrid vehicle of the disclosure includes a clutch controller configured to perform slip control of a hydraulic clutch in response to satisfaction of a start condition of an engine and to perform pressure increase control of increasing a hydraulic pressure to the hydraulic clutch with elapse of time after a rotation speed difference between the engine and a motor enters a predetermined range; and an engine controller configured to start fuel injection and ignition of the engine before the rotation speed difference enters the predetermined range, to control the engine such that the rotation speed of the engine becomes equal to a target rotation speed after the start of the fuel injection and the ignition, and to increase the target rotation speed of the engine as an angular acceleration of the motor becomes larger during execution of the pressure increase control.