A control device of a hybrid vehicle includes an engine, an electric motor configured to output power for running and power necessary for starting the engine, and a connecting/disconnecting clutch connecting/disconnecting a power transmission path between the engine and the electric motor, and the control device is configured to start the engine while the connecting/disconnecting clutch is controlled toward engagement during motor running for running by using only the electric motor as a drive force source for running with the connecting/disconnecting clutch released.When the engine is started in association with an increase in a drive request amount to the hybrid vehicle, if the drive request amount is large, the power for running from the electric motor during start of the engine is made smaller as compared to the case that the drive request amount is small