A resonant switching power converter includes: capacitors, switches, at least one charging inductor, at least one discharging inductor and a pre-charging circuit. The pre-charging circuit controls a first switch of the switches when the resonant switching power converter operates in a pre-charging mode, to control an electrical connection relationship between the input voltage and a first capacitor of the capacitors and to control other capacitors of the capacitors, thus controlling the capacitors to be connected in parallel to one another or to be connected in series to one another, so that when a voltage drop across the first capacitor is lower than a predetermined voltage, the voltage drop across each capacitor is charged to the predetermined voltage. After operating in the pre-charging mode, the resonant switching power converter subsequently operates in a resonant voltage conversion mode, to thereby convert an input voltage to an output voltage.