The present disclosure relates to a touch display panel, a method and a device for driving the touch display panel. The method is applied to the touch display panel which includes L gate lines arranged sequentially and M touch scan lines arranged sequentially, where both L and M are positive integers larger than 1. The method includes dividing a duration for which the touch display panel displays each frame of image into N control time intervals with each of the N control time intervals including a display refresh time and a touch time arranged sequentially, where N is an integer larger than 1, during the duration for which the touch display panel displays each frame of image, driving the L gate lines sequentially in N display refresh times, and driving the M touch scan lines sequentially for K times in N touch times, where K is larger than 1.