A clock generator circuit of a liquid display panel includes a charge sharing switch unit, a first capacitor, a first switch, a second switch, a third switch and a fourth switch. The charge sharing switch unit is configured to receive control signals and accordingly output a first-polarity voltage to the first capacitor. The clock generator circuit is configured to turn on the first switch, the second switch, the third switch and the fourth switch according to a specific sequence thereby outputting a clock signal. An operation method for the aforementioned clock generator circuit is also provided.