The disclosure provides a pixel circuit and a driving method thereof, a display device. The pixel circuit includes: a storage capacitor having a first terminal coupled to a first node and a second terminal coupled to a second node; a light emitting diode having a first electrode coupled to a third node and a second electrode coupled to a second power supply terminal; a data writing circuit configured to write a data voltage into the second node; a compensation circuit configured to write a voltage of the third node, as a compensation voltage, into the first node; a driving transistor having a control terminal coupled to the first node, a first electrode coupled to a first power supply terminal and a second electrode coupled to the light emitting control circuit; a light emitting control circuit configured to control the light emitting diode to emit light.