An in-cell touch panel, driving method thereof and display device are provided. The in-cell touch panel includes: a base substrate; an opposing substrate arranged opposite to the base substrate; a plurality of organic light-emitting diode pixel units disposed on a side of the base substrate facing the opposing substrate, wherein each of the OLED pixel units include an anode layer; a pressure-sensitive detection chip; and a plurality of mutually independent pressure-sensitive detection electrodes disposed between the cathode layer and the opposing substrate, wherein a capacitor structure is formed by the pressure-sensitive detection electrodes and the cathode layer, wherein the pressure-sensitive detection chip is configured to determine a pressure value at a touch position by detecting a capacitance variation between the pressure-sensitive detection electrodes and the cathode layer.