In requirement of catalyst degradation control with setting of a catalyst degradation control flag Fc to 1, the braking control of the invention sets torque commands Tm1* and Tm2* of two motors and controls the operations of an engine and the two motors to shift a drive point of the engine on an optimum fuel consumption operation curve by a preset rotation speed variation Nrt1 in a specific range of rotation speed that ensures no occurrence of a misfire in the engine within an input limit Win of a battery and to ensure output of a braking torque demand Tr* to a ring gear shaft or driveshaft (steps S200 to S250). Such braking control stably lowers a rotation speed Ne of the engine to a target rotation speed Ne* and desirably enhances the fuel consumption under the catalyst degradation control.