An array substrate, a display device and a driving method for a display device are provided. In the array substrate and the display device, one sub-pixel includes a first sub-pixel portion and a second sub-pixel portion adjacent to each other. The first sub-pixel portion and the second sub-pixel portion are connected to different gate lines and are electrically connected to the same data line, so that, in the case of progressive scanning, the first sub-pixel portion and the second sub-pixel portion are applied with different data voltages.