A hybrid vehicle control device is provided that is capable of achieving stable input torque control and torque capacity control of the clutch. When transitioning between a slip drive mode, in which the vehicle travels by controlling the rotation speed of the drive source and controlling the slip state of a starting clutch, and an engagement drive mode, in which the vehicle travels by controlling the torque of the drive source and completely engaging the starting clutch, the torque of the inertia component of the drive source side is deducted from the target drive torque set on the basis of the acceleration opening degree set as the starting clutch transfer torque capacity in the slip state.