A touch panel having a plurality of electrode units, a touch display control circuit configured to apply voltage signals on the electrode units during a display driving period of the touch panel, and apply touch driving voltage signals on the electrode units during a touch driving period of the touch panel, wherein, a frame period including a plurality of unit frames of the touch panel, when the touch panel displays images of respective unit frames, the touch display control circuit applies touch driving voltage signals in different time on the electrode units during the touch driving period. A driving method of the touch panel is also disclosed. When the touch panel displays the images of respective unit frames, a position of a brightness anomaly on the image of each unit frame is not fixed by changing the time of applying the touch driving voltage signals applied on each electrode unit.