The invention relates to a system and a method for culturing aerobic grain sludge(AGS) and treating organic waste water generated during the culture of the aerobic grain sludge. An SBR system with short period is adopted to culture the aerobic grain sludge(AGS) and treat the organic waste water. The system consists of a main reactor, a water charging system, a water discharging system, an aeration system and a corresponding self-control device. A 2.5h short-period SBR operating mode is adopted, and four stages of water charging, aeration, precipitation and water discharging are included in each period. The water charging time is 5 min, the aeration is started while charging water, the aeration time is 132 to 144 min, the precipitation time is 3 to 15 min, and the water discharging time is 3 min. The pH value of the culture and treatment system is controlled by adding bicarbonate. The bicarbonate is sodium bicarbonate, and the adding range is between 0 and 1,200 mg/L. By utilizing the system and the method, the AGS can be quickly and economically cultured, and the organic substances, nitrogen and phosphorus in the organic waste water can be treated in high efficiency. The system and the method can be applied to the culture and production of the aerobic grain sludge and the treatment of the organic waste water, so that the system and the method have important practical values.