A touch display apparatus and an operation method of a touch apparatus thereof are provided. The operation method of the touch apparatus includes the following steps, namely, providing a touch capability regulating signal according to a plurality of image data in a column of an image frame; providing a touch driving signal to a first touch electrode in sequence according to a first clock signal and a second clock signal; changing at least one of an amplitude and a frequency of the first clock signal and the second clock signal according to the touch capability regulating signal.