This paper established a one-dimensional model of a coaxial dielectric barrier discharge (DBD) with a single dielectric layer covering the high-voltage electrode. The mixture of Ar and a small amount of CH₄ was used as working gas, the influence of different voltage amplitude on the discharge characteristics was studied by 10.0 kHz microsecond pulsed power. The simulation results show that the discharge current curve presents bipolar characteristics with different intensities are generated in a single microsecond pulse period, and the primary discharge is much intense. The discharge current, discharge power can enhance by increasing the discharge voltage amplitude. The equivalent capacitance C_g also increases, the discharge voltage has no significant effect on C_d. In the experiment, it can be observed that the number of discharge filaments in the discharge gap increases with the increase of voltage amplitude, and photoionization is formed near the anode. The result of the current experimental trend is almost the same as the simulated current.