Low temperature plasma excited by dielectric barrier discharges (DBDs) is widely used in medical health, air purification and other fields, and DBDs are commonly driven by high voltage pulse generators. In this paper, a high voltage pulse generator based on the combination of resonant circuit and pulsed transformer is proposed. The circuit uses the resonant effect of capacitor and inductor, combined with boost effect of pulsed transformer, and only one semiconductor switch to output high voltage pulses. The structure is simple, the cost is low, and zero voltage switching (ZVS) can be realized. In this paper, the operation mode of the circuit is analyzed theoretically, and the prototype is built for experiment. Under the condition of capacitive load, high voltage pulses with adjustable frequency of 1-15 kHz and amplitude of 0-10 kV are generated , and the influence of freewheeling branch and freewheeling resistance on the output high-voltage pulse waveform is analyzed. The DBD discharge experiment was carried out by using the pulse generator, and the DBD reactor was successfully driven, which further verified the feasibility of the circuit.