An engine start-stop control system for an automotive vehicle includes a first step for supplying current to a solenoid of a magnet switch of a starter at 100% duty ratio until a first predetermined time passes, a second step for supplying current to the solenoid at a duty ratio that is less than 100% after the first predetermined period passes until a second predetermined period passes, and a third step for supplying current to the solenoid at 100% duty ratio after the second predetermined period passes until a third predetermined period passes. Therefore, a pinion of the starter reaches a ring gear of the engine in a short time and engages the ring gear with a moderate impacting shock, thereby preventing the pinion and the ring gear from being damaged.