A touch sensing display device and a driving method thereof for improving touch noise characteristics during moving image driving are discussed. The touch sensing display device can include a display panel including touch electrodes and subpixels defined by data lines and gate lines, and a timing controller configured to output an average data value and a touch synchronization signal in which display driving periods and touch driving periods are alternately time-divided, a touch controller configured to output a charge remover capacitance compensation value, a charge remover voltage compensation value, and a gain compensation value according to the average data value. Further, the touch sensing display device can include a power controller configured to output a charge remover voltage according to the charge remover voltage compensation value, and a touch driving circuit configured to sense a touch signal from each touch electrode and output a touch sensing value.