The auto engine start control of the invention regulates a throttle valve to a restricted opening to reduce an air intake flow at an ordinary start of an engine (step S140). When the driver stamps on an accelerator pedal to raise an engine power demand Pe* to or above a preset threshold value Pref, the auto engine start control regulates the throttle valve to a standard opening to ensure the air intake flow corresponding to the engine power demand Pe* (step S150) and thereby cranks the engine. This arrangement desirably dampens potential vibration induced by ignition at the ordinary start of the engine, while ensuring prompt output of the required driving force from the engine under the condition of the higher engine power demand Pe*.