This paper is aimed to perform an analytical study to identify the optimum operating conditions for the ozone generation in the dielectric barrier discharges. The dielectric barrier discharges have been formed inside a reactor in the form of two coaxial cylindrical electrodes. The reactor was fed by constant flow rates from the dry air and the oxygen gas separately at the normal atmospheric conditions, in parallel with applying a sinusoidal ac voltage to the discharge electrodes. The electric power consumed in the dielectric barrier discharges and the ozone concentration generated in the flowing gases through the reactor have been measured as a function in the peak value of the ac voltage applied to the reactor. The experimental results of the discharge power consumed inside the reactor were investigated by using Manley's equation. The optimum operating conditions for the ozone generated in the flowing gases through the reactor have been identified by applying Becker equation and Vasilʼev-Kobozev-Eremin equation on the experimental results measured in the dry air and the oxygen gas respectively. The obtained results showed that the optimum operating conditions for the ozone generation in both the dry air and the oxygen gas are only achieved with the lower flow rates for the gases through the reactor, and they in the oxygen gas are better than the dry air. The values of the coefficients of ozone formation and destruction in the oxygen gas are higher than their values in the dry air, and their values decrease with increasing the flow rate of the gases through the reactor.