The present disclosure provides a pixel circuit and a driving method thereof, a display device. The pixel circuit includes a reset sub-circuit, a compensation sub-circuit, a data writing sub-circuit, a storage capacitor, a driving transistor, a light emitting control sub-circuit and a light emitting sub-circuit. The compensation sub-circuit may write a threshold voltage of the driving transistor into a gate of the driving transistor in a date writing stage, so that magnitude of a drive current output by the driving transistor is independent of the threshold voltage of the driving transistor in a light emitting stage.