A driving method for preventing image sticking of a display panel upon shutdown, and a display device. The method includes: receiving a shutdown signal; and adjusting driving signals of a sub-pixel circuit of the display panel, so as to reduce the voltage difference between a gate electrode and a source electrode of a driving transistor of the sub-pixel circuit, and hence allowing the display panel to enter an image sticking prevention mode. The method can prevent image sticking of the display panel at the time of shutdown and hence improve the display quality.