Display devices and methods for driving display devices are provided. The method may include, in a first stage of the data writing phase, always turning on m1 first switch units of each multiplexer under a control of m1 corresponding clock signal lines, and sequentially turning on m2 second switch units for a preset time in a preset order; in a second stage of the data writing phase, keeping the m1 first switch units always on, turning off the m2 second switch units, and writing corresponding data voltage signals to the row of sub-pixels to cause the row of sub-pixels to display; and in the display maintaining phase, displaying same as in the second stage of the data writing phase. At least one first switch unit is always turned on under the control of a corresponding clock signal line when at least two continuously scanned rows of sub-pixels are displaying.