In the paper, we study the dielectric barrier discharge (DBD) occurring in a metal-insulator-gas-insulator-metal system. We encounter these kinds of discharges in ozonator-type reactors used in gas electrochemistry. The experiments are done in air medium when the gap width value is 580 mu m and the pressure is in the interval of 1-100 mbar. The schematic diagram of the experimental mechanism and the drawing methods of the characteristics are given, and it is determined that the barrier discharge has an impulse character. Experimentally, we determine that the voltage-current (v-i) and voltage-charge (v-q) characteristics of the discharge are linear for the case of (pl) < (pl)(cr) and step shaped for the case of (pl) > (pl)(cr), and these cases are explained theoretically. Furthermore, the determination method of the ratio of the fading voltage depending on the width of the steps of the experimental v-i characteristic to the inception voltage is given in this paper.