A driving method of touch panels is disclosed. The touch panel includes gate lines and data lines intersecting with each other, and at least one switch component arranged at intersections of the gate lines and the data lines, and the switch component connects to the gate line and the data line. During a touch scanning phase, when a touch scanning voltage is applied to a gate line, a gate turn-off voltage of the gate line oscillates together with the touch scanning voltage at the same amplitude and frequency to prevent the switch component from being turned on during the touch scanning phase. In addition, the touch panel and the touch display driven by the driving method are disclosed.