A method and apparatus for digital power processing operating with zero-voltage switching, which enables zero-voltage switching under the condition that the frequencies are not constant, or the load currents are different. Two switching components are connected with the power supplies and are in parallel connection with a capacitance and in reverse parallel connection with a diode, respectively, which switching components, together with their auxiliary components, constitute up side and down side of a semi-circuitry which connects to a output of the converter via an inductance. The frequencies of the control signals of this converter can be variable, thus the converter can achieve the zero-voltage switching under the condition that the frequencies are not constant.