For regenerative generation at deceleration of a vehicle, a regenerative
control apparatus for vehicles equipped with a lock-up clutch comprises a
control unit for controlling rotary electric machine and the lock-up
clutch. When the clutch is in a complete disengagement state or a
slipping state at deceleration, the control unit controls the rotary
electric machine to execute regenerative generation at a partial
generation level lower than a regenerative generation level in a complete
engagement state. When the clutch is in a complete engagement state at
regenerative generation, the control unit controls the clutch so that the
coupling state is transferred to a slipping state or a complete
disengagement state when the number of revolutions having correlation to
engine speed becomes lower than a predetermined threshold. Thus,
recovering efficiency of the regenerative braking energy can be enhanced,
while suppressing engine stall due to drastic increase of engine load
torque.