A touch display device, a data driving circuit, and a driving method are provided. The touch display device, the data driving circuit, and the driving method convert an image digital signal into an image analog signal in response to a gamma reference voltage which is applied to the touch electrodes arranged in the display panel and which is modulated in synchronization with a first touch electrode driving signal swinging with a first amplitude and output a data signal corresponding to the converted image analog signal to the data lines. Accordingly, it is possible to effectively simultaneously perform display and touch sensing.