A control apparatus for a hybrid vehicle drive system, which permits effective reduction of deterioration of the drivability of the hybrid vehicle. The control apparatus includes a drive mode switching portion 60 configured to switch the hybrid vehicle drive system from a hybrid drive mode to a first EV drive mode if an electric energy amount stored in a battery is smaller than a predetermined threshold value α or if a vehicle drive force required to be generated by the hybrid vehicle drive system is smaller than a predetermined threshold value β, and to a second EV drive mode if the electric energy amount stored in the battery is equal to or larger than the threshold value α and if the drive force required to drive the hybrid vehicle is equal to or larger than the threshold value β, when the drive mode switching portion has determined that the hybrid vehicle drive system should be switched from the hybrid drive mode to the first or second EV drive mode.