The present disclosure provides a liquid crystal display, a turnoff discharge circuit of a liquid crystal display and a driving method thereof. The liquid crystal display includes a plurality of pixel units distributed in an array, each column of pixel units being connected to a data line. The turnoff discharge circuit includes: a power storage circuit, having a first end grounded; a discharge circuit, having a first end grounded and a second end connected to a data line corresponding to each column of the pixel units; and a discharge control circuit, wherein the discharge control circuit is connected to a second end of the power storage circuit and to a control end of the discharge circuit; wherein in response to receiving a turnoff signal of the liquid crystal display, the discharge control circuit controls the discharge circuit to operate in order to discharge each of the pixel units through the discharge circuit, and controls the power storage circuit to charge, wherein after the turnoff signal ends, the power storage circuit discharges to keep the discharge circuit in an operating state, so that each of the pixel units continues discharging through the discharge circuit.