The invention discloses an array substrate, a drive method thereof, a liquid crystal display panel and a display device. The array substrate comprises a substrate, pixel electrodes, compensation capacitors, control lines and a control circuit. The pixel electrodes are in a floating state after being charged, and the control circuit applies voltage with polarity identical to that of voltage on the pixel electrodes to the compensation capacitors. According to the capacitance and charge conservation principle, the voltage difference at two ends of each compensation capacitor is to keep the state when the pixel electrodes are charged, so that the voltage at the other end of the compensation capacitor changes identically when the control circuit applies voltage to one end of the compensation capacitor, and the voltage amplitude of the pixel electrodes is increased. When the array substrate is applied to the liquid crystal display panel, the voltage amplitude of the pixel electrodes is increased, the electric field controlling liquid crystal molecules to turn over is enhanced, and accordingly, response time of the liquid crystal molecules is shortened. The array substrate provided by the embodiment solves the problem of reduced liquid crystal response speed at a low temperature in the prior art, and the liquid crystal display quality is improved.