A pixel circuit and driving method thereof, a display device are provided, and the pixel circuit includes a switching sub-circuit, a threshold voltage extraction sub-circuit, an initialization sub-circuit, a feedback compensation sub-circuit, a driving transistor and a light emitting device. The threshold voltage extraction sub-circuit is coupled to a control electrode of the driving transistor, and configured to extract and store a threshold voltage of the driving transistor in response to an enable signal and configured to apply the threshold voltage and a data voltage written by the switching sub-circuit to the control electrode of the driving transistor. The feedback compensation sub-circuit is coupled to a second terminal of the light emitting device and a data line, and configured to generate a data voltage compensation signal for a next display image frame according to an operating current of the light emitting device and supply it to the data line. (FIG. 1).