The embodiments of the present application disclose a booster circuit and a driving method thereof, a backlight module and a display device. The booster circuit includes: a booster sub-circuit and an oscillation elimination sub-circuit; wherein the booster sub-circuit includes a power supply element, an inductor, and a first switch; the booster sub-circuit is configured to provide, at a connection node, a voltage higher than a voltage provided from the power supply element; and wherein a parasitic capacitance occurs between the connection node and a ground terminal; the oscillation elimination sub-circuit is configured to prevent a current generated when the parasitic capacitance discharges from flowing through the inductor so as to eliminate an oscillation generated between the parasitic capacitance and the inductor.