A display substrate, a display device and a method for driving the same are provided. The display substrate includes a plurality of sub-regions. At least one subpixel unit, a common electrode voltage input line, a common electrode voltage control line and at least one control TFT are arranged at each sub-region. At each sub-region, a gate electrode of the control TFT is coupled to the common electrode voltage control line, a source electrode of the control TFT is coupled to the common electrode voltage input line, and a drain electrode of the control TFT is coupled to a common electrode of the subpixel unit.