A touch sensor, a display device including the same, and a method for driving the touch sensor are provided. The display device includes a substrate, first electrodes disposed on the substrate and connected to first connection lines, second electrodes disposed on the substrate and connected to second connection lines, a touch controller for calculating a position and a pressure of a touch based onoutput signals transmitted by the first connection lines and output signals transmitted by the second connection lines, and a display panel spaced apart from the substrate and including pixels and anauxiliary electrode, wherein the auxiliary electrode forms a capacitor with the first electrodes and the second electrodes.