Discussed are a touch display panel, a touch display device, and a driving method thereof, wherein a constant voltage is applied to a cathode electrode during a period for sensing a finger touch or a pen touch, thereby performing touch sensing while performing display driving. In addition, a signal having the same phase and potential as the signal applied to the touch electrode is applied to the cathode electrode during a period for transmitting an uplink signal to the pen, thereby eliminating parasitic capacitance between the touch electrode and the cathode electrode, preventing transmission delay of the uplink signal, improving the recognition rate of the uplink signal, and enhancing the performance of pen-touch sensing.