A driving circuit, a touch display device, and a method of driving the touch display device. A plurality of first electrodes are disposed within a display panel. A second electrode is disposed outside of the display panel. A driving circuit detects at least one of a touch position and a touching force of a touch by sequentially applying a first electrode driving signal to at least one first electrode among the plurality of first electrodes and applying a second electrode driving signal to the second electrode in a touch driving period. When a user touches a screen, not only can a touch position be sensed, but also a touching force with which the user presses the screen can also be efficiently sensed. This provides a range of functions that existing touch position-detecting technologies have failed to provide.