The present disclosure of the disclosure are related to a touch driving circuit and a touch display device, in a touch sensor structure performing a touch sensing based on a mutual-capacitance, as performing a touch sensing based on a self-capacitance and a touch sensing based on the mutual-capacitance, a performance of a touch sensing may be improved. Furthermore, as driving channels of X-touch electrode line of Y-touch electrode line partially in a period performing a touch sensing based on the self-capacitance, the number of channels driven in each period is reduced and a noise according to a display driving may be reduced when performing a touch sensing based on the self-capacitance.