A charge pump circuit includes a first switch˜a fourth switch, a capacitor, a current source, a first resistor, a second resistor, an amplifier, another current source, a current mirror, a skip detection circuit, a switch generation circuit and a control unit. A method includes: (a) starting the charge pump circuit; (b) operating the charge pump circuit in a first phase, wherein the first switch and second switch are conducted and the third switch and fourth switch are disconnected; (c) operating the charge pump circuit in a second phase, wherein the third switch and fourth switch are conducted and the first switch and second switch are disconnected; (d) determining whether a detected voltage in the skip detection circuit is higher than a threshold voltage; and (e) selectively performing step (b) or (c) again according to determination result of step (d).