The hexagon and square gridding patterns were observed in Ar（0.5％Air） at atmospheric pressure by using a dielectric barrier discharge set-up with double water electrodes. The temporal behaviour of an individual filament in square gridding was measured. The experimental results show that the time interval between two adjacent discharges are changed between long and short alternately. The influence of the charges deposited on dielectric surface on the self-organized filament pattern has been discussed.