A hybrid vehicle control device for a drive system, the drive system including an engine, a motor/generator, a clutch and a drive wheel (10R, 10L), wherein: - the hybrid vehicle control device comprises an engine start control means that is configured to begin engagement of the clutch and to crank the engine using the motor as an engine starter, when there is an engine start request in an EV mode that uses the motor as a drive source, and - the engine start control means comprises, as engine start modes: - a normal start mode that prioritizes drive force response performance, and - a sound and vibration prioritizing startup mode that prioritizes sound and vibration reduction performance, the hybrid vehicle control device being characterized in - that the sound and vibration prioritizing startup mode is selected to start the engine when conditions (i) that a drive range is selected and (ii) that a vehicle stop condition is present due to a brake operation are satisfied at a time of an engine start request, and in - that the start mode is switched to the normal start mode in which fuel injection is immediately started by an increase in the cranking rotation speed, if the selection condition of the sound and vibration prioritizing startup mode becomes not satisfied due to a foot being taken away from the brake with the intention to start, when there is an engine start request while brake stopped in the drive range and when executing an engine start control by the sound and vibration prioritizing startup mode. - the hybrid vehicle control device comprises an engine start control means that is configured to begin engagement of the clutch and to crank the engine using the motor as an engine starter, when there is an engine start request in an EV mode that uses the motor as a drive source, and - the engine start control means comprises, as engine start modes: - a normal start mode that prioritizes drive force response performance, and - a sound and vibration prioritizing startup mode that prioritizes sound and vibration reduction performance, the hybrid vehicle control device being characterized in - a normal start mode that prioritizes drive force response performance, and - a sound and vibration prioritizing startup mode that prioritizes sound and vibration reduction performance, - that the sound and vibration prioritizing startup mode is selected to start the engine when conditions (i) that a drive range is selected and (ii) that a vehicle stop condition is present due to a brake operation are satisfied at a time of an engine start request, and in (i) that a drive range is selected and (ii) that a vehicle stop condition is present due to a brake operation are satisfied at a time of an engine start request, and in - that the start mode is switched to the normal start mode in which fuel injection is immediately started by an increase in the cranking rotation speed, if the selection condition of the sound and vibration prioritizing startup mode becomes not satisfied due to a foot being taken away from the brake with the intention to start, when there is an engine start request while brake stopped in the drive range and when executing an engine start control by the sound and vibration prioritizing startup mode.