The invention relates to an array substrate, a touch display device, and a driving method thereof. The array substrate includes a display region and a peripheral region surrounding the display region. The display region includes N rows of scanning lines, wherein N is a positive integer more than 1. The peripheral region includes a touch driving circuit and a gate driving circuit, wherein, the touch driving circuit includes M stages of touch output units for generating touch driving signals, where M is an integer more than 0 and less than or equal to N; the gate driving circuit includes N stages of shift registers for said N rows of scanning lines which generate scanning signals. The M stages of shift registers include a first strobe signal output terminal and a second strobe signal output terminal, which provide a first strobe signal and a second strobe signal for the M stages of touch output units, respectively; the touch output unit includes PMOS tubes from the first one to the eleventh one. The invention uses the signal in the shift register as the input strobe signal of the touch driving circuit to realize narrow border.