The present embodiments relate to a touch display device and a touch driving circuit, which may detect a short circuit occurring between touch electrodes and between a plurality of touch lines. The touch display device comprises: a touch display panel in which touch electrodes and a plurality of touch lines are disposed, wherein the touch electrodes are divided into n multiplexer groups and each multiplexer group comprises m touch electrodes, and the plurality of touch lines correspond to and are electrically connected to the touch electrodes; a touch driving circuit comprising a multiplexer part and a pre-amplifying part, and configured to drive the touch electrodes, wherein the multiplexer part comprises m multiplexer circuits, and the pre-amplifying part comprises m pre-amplifiers; and a touch controller configured to detect an existence of a touch or a location of a touch performed by one or more of a finger and a pen.