A control device of a hybrid vehicle including an engine, an electric motor coupled to a power transmission path between the engine and drive wheels, and a clutch connecting/disconnecting a power transmission path between the engine and both the electric motor and the drive wheels, the control device performing detection of air-fuel ratio variation between cylinders of the engine, the control device changing an operation state of the clutch based on a request drive force of the vehicle, and the control device performing the detection of air-fuel ratio variation when the clutch is in an open state or a slip amount of the clutch is equal to or larger than a preset value.