A touch display device comprises a touch panel including a plurality of touch electrodes; and a touch driving circuit configured to sense one or more of the plurality of touch electrodes, wherein the touch driving circuit has an operation period including a plurality of touch intervals that includes a first sensing interval and a second sensing interval, and the first sensing interval includes at least a first time division sensing interval and the second sensing interval includes at least a second time division sensing interval, and wherein the touch driving circuit is configured to detect a pen signal output from a first pen through one or more touch electrodes of the plurality of touch electrodes during the first time division sensing interval, and detect a pen signal output from a second pen through one or more touch electrodes of the plurality of touch electrodes during the second time division sensing interval.