A circuit and a method for driving a touch substrate, a touch device and a method for operating the touch device are provided. The method for driving the touch substrate includes inputting first driving signals to respective ones of the plurality of touch electrodes sequentially in a first time duration within a touch period; and inputting second driving signals to respective ones of the plurality of touch electrodes in a second time duration within the touch period, wherein signal strengths of the second driving signals are larger than signal strengths of the first driving signals.