The present disclosure relates to a driving device and a driving method of a liquid crystal display device and a liquid crystal display device. The liquid crystal display device comprises a display panel. The driving method comprising following steps of: displaying a current image by driving the display panel in a current reverse driving mode; detecting a variation value of a common voltage of the display panel during a prescribed period of time, and determining whether the variation value of the common voltage is greater than a prescribed threshold voltage variation; and in case that the variation value of the common voltage is greater than the prescribed threshold voltage variation, determining an occurrence of an image flickering and changing the current reverse driving mode. According to the present disclosure, the flickering of the liquid crystal display device can be reduced.