A resonant switching power converter includes: capacitors; switches; one charging inductor; and one discharging inductor. In a charging process, by switching the switches, the capacitors and the charging inductor form a charging path between an input voltage and an output voltage, wherein a turned-ON time point and a turned-OFF time point of the switches are synchronous with a start time point and an end time point of a positive half wave of a charging resonant current. In a discharging process, by switching the switches, each capacitor and the discharging inductor are connected in series between the output voltage and a ground voltage level, whereby plural discharging paths are formed, wherein a turned-ON time point and a turned-OFF time point of the switches are synchronous with a start time point and an end time point of a positive half wave of a discharging resonant current.