This paper discusses a lithium battery-driven cold plasma jet at atmospheric pressure with a pulsed power supply of design and its simulation. H.V. DC(High voltage directed current) and pulsed discharge circuit comprise of the entire pulse power system. H.V. DC circuit using TIs TMS320F28335 chips as the core of the circuit control module, the chip improves the stability of the H.V.DC circuits. Pulsed discharge circuit design plays a crucial impact on the formation of the narrowed pulses. A new double pulsed discharge circuit is designed by the proposed program. As discharge experiment shown finally, the steep narrowed pulse of pulsed power supply can be used to stabilize the output of the pulsed front.