An array substrate, a display device and a driving method thereof are provided. The array substrate includes a base substrate, a driver provided on the base substrate, a plurality of gate lines and a plurality of gate line overlap parts, each of the gate line overlap parts has a portion which overlaps a corresponding gate line of the gate lines in a direction perpendicular to the base substrate; the driver is connected with the plurality of the gate line overlap parts and is configured to, at one or both of a time when a potential of the gate line is changed from a turn-on potential to a turn-off potential and a time from the turn-off potential to the turn-on potential, make the gate line overlap part in a floating state, or make the potential of the gate line overlap part equal to the changed potential.