A touch and gesture sensing system and a driving method thereof are provided. The touch and gesture sensing system comprises: a display panel comprising a pixel array, sensors, and sensor lines connected to the sensors; a display driving circuit that writes a data voltage to the pixels of the pixel array during a display driving period; and a sensor driving circuit that applies a touch sensor driving signal to the sensors to sense touch input during a touch sensing period and applies a gesture sensor driving signal to the sensors to sense gesture input during a gesture sensing period.