According to the BUCK amplitude-modulated high-frequency high-voltage electrostatic power supply and the working method thereof, after power frequency rectification filtering, BUCK chopping and high-frequency filtering are adopted, direct-current bus voltage with the amplitude modulated by the BUCK chopping is output, a series resonance inverter circuit composed of an IGBT full bridge, a capacitor and an inductor is connected, the resonance inverter circuit is controlled through pulses to work, and pulse current is output; and meanwhile, the two groups of series resonant inverter circuits work cooperatively, so that the pulse frequency of the pulse current is improved, and the amplitude-adjustable high-frequency high-voltage power supply is obtained. Through combination of the BUCK amplitude modulation technology and the high-frequency power supply technology, the power factor of a traditional silicon controlled rectifier amplitude modulation power supply is improved, the amplitude modulation range is widened, the application scene of the high-frequency power supply is further widened, and the reliability and adaptability of the high-frequency power supply to special working conditions are improved.