If it is determined that a brake pedal is pressed while an accelerator pedal is pressed, accelerator position limit control for bringing an accelerator position for engine control to a limit value corresponding to vehicle speed is performed, thereby securing safety at the time when both of the accelerator pedal and the brake pedal are pressed. If it is determined that the accelerator pedal is pressed after the brake pedal is pressed, the accelerator position limit control is prohibited, thereby responding to driver's intention to accelerate. If it is determined that the pressing of the brake pedal is cancelled during execution of the accelerator position limit control, accelerator position recovery control for returning the accelerator position for the engine control to an actual accelerator position is performed, thereby recovering normal running corresponding to the driver's intention to accelerate.