In response to the driver's depression of a brake pedal in requirement of catalyst deterioration control with a catalyst deterioration control flag Fc set equal to 1, the braking control of the invention controls the operation of a motor to make a rotation speed Ne of an engine approach to a target rotation speed Ne* in a state of continued combustion (firing) of the engine (steps S180 and S190). Such control ensures a quick decrease of the rotation speed Ne of the engine to the target rotation speed Ne*, thus effectively reducing the wasteful fuel consumption due to the continued operation of the engine at a high rotation speed and enhancing the overall energy efficiency of the vehicle.