In hybrid electric vehicle control, when an engine is cranked by the torque of a first motor-generator to start the engine, the torque of the first motor-generator is corrected according to the crankshaft angle of the engine to prevent the amount of increase in engine rotation speed from fluctuating. Fluctuation in inertia torque is reduced through this control of the torque of the first motor-generator to reduce fluctuation in the cranking reaction force torque exerted on a drive axle. Further, the torque of a second motor-generator is so controlled to cancel out this cranking reaction force torque. Thus, the cranking reaction force torque exerted on the drive axle is accurately canceled out through control of the torque of the second motor-generator to suppress fluctuation in the torque of the drive axle.