A touch display device comprising: a plurality of data lines; a plurality of subpixels, wherein each of the subpixels includes a first electrode, an organic light emitting layer on the first electrode, and a second electrode on the organic light emitting layer; an encapsulation layer on the second electrode; a plurality of touch electrodes on the encapsulation layer; and a touch driving circuit configured to drive the touch electrodes, wherein the touch driving circuit is configured to: output to at least some of the touch electrodes: a first touch-driving signal during a first touch-driving period, a second touch-driving signal during a second touch-driving period, and a third touch-driving signal during a third touch-driving period, detect a touch-sensing signal from at least some of the plurality of touch electrodes during the first touch-driving period and the third touch-driving period, sense a finger touch during the first touch-driving period, and sense a pen touch during the third touch-driving period, wherein the touch display device is configured to: apply a constant voltage to the second electrode during the first touch-driving period and the third touch-driving period, apply a signal corresponding to the second touch-driving signal to the second electrode and transmit an uplink signal from at least one touch electrode of the plurality of touch electrodes to a pen during the second touch-driving period, drive the display during the first touch driving period by supplying a data voltage to at least some of the data lines, stop supply of the data voltage during the second touch driving period, and drive the display by supplying a data voltage to at least some of the data lines and receive a downlink signal transmitted from the pen to the at least one touch electrode during the third touch-driving period. a plurality of data lines; a plurality of subpixels, wherein each of the subpixels includes a first electrode, an organic light emitting layer on the first electrode, and a second electrode on the organic light emitting layer; an encapsulation layer on the second electrode; a plurality of touch electrodes on the encapsulation layer; and a touch driving circuit configured to drive the touch electrodes, wherein the touch driving circuit is configured to: output to at least some of the touch electrodes: a first touch-driving signal during a first touch-driving period, a second touch-driving signal during a second touch-driving period, and a third touch-driving signal during a third touch-driving period, detect a touch-sensing signal from at least some of the plurality of touch electrodes during the first touch-driving period and the third touch-driving period, sense a finger touch during the first touch-driving period, and sense a pen touch during the third touch-driving period, output to at least some of the touch electrodes: a first touch-driving signal during a first touch-driving period, a second touch-driving signal during a second touch-driving period, and a third touch-driving signal during a third touch-driving period, detect a touch-sensing signal from at least some of the plurality of touch electrodes during the first touch-driving period and the third touch-driving period, sense a finger touch during the first touch-driving period, and sense a pen touch during the third touch-driving period, wherein the touch display device is configured to: apply a constant voltage to the second electrode during the first touch-driving period and the third touch-driving period, apply a signal corresponding to the second touch-driving signal to the second electrode and transmit an uplink signal from at least one touch electrode of the plurality of touch electrodes to a pen during the second touch-driving period, drive the display during the first touch driving period by supplying a data voltage to at least some of the data lines, stop supply of the data voltage during the second touch driving period, and drive the display by supplying a data voltage to at least some of the data lines and receive a downlink signal transmitted from the pen to the at least one touch electrode during the third touch-driving period. apply a constant voltage to the second electrode during the first touch-driving period and the third touch-driving period, apply a signal corresponding to the second touch-driving signal to the second electrode and transmit an uplink signal from at least one touch electrode of the plurality of touch electrodes to a pen during the second touch-driving period, drive the display during the first touch driving period by supplying a data voltage to at least some of the data lines, stop supply of the data voltage during the second touch driving period, and drive the display by supplying a data voltage to at least some of the data lines and receive a downlink signal transmitted from the pen to the at least one touch electrode during the third touch-driving period.