A pixel circuit and a driving method thereof, and a display device. The pixel circuit includes an input sub-circuit, a driving sub-circuit, a light emitting control sub-circuit, a light emitting sub-circuit and a voltage stabilizing sub-circuit; the voltage stabilizing sub-circuit is connected respectively to a second node and a voltage stabilizing signal terminal in the pixel circuit, and configured to stabilize a voltage level at the second node under control of a voltage stabilizing signal from the voltage stabilizing signal terminal, and the voltage level of the voltage stabilizing signal is unchanged during driving process of the pixel circuit.