A pixel compensation circuit and a driving method thereof, and a display device. The pixel compensation circuit includes: a driving sub-circuit; a light-emitting device; an initialization sub-circuit, configured to initialize a control electrode of the driving sub-circuit; a data writing sub-circuit, configured to provide a data signal to the control electrode of the driving sub-circuit; a voltage input sub-circuit, configured to provide a signal of the first power supply terminal to the first electrode of the driving sub-circuit; a storage and voltage division sub-circuit, configured to store a voltage of the first electrode of the driving sub-circuit, and when the control electrode of the driving sub-circuit is floating, maintain stability of a voltage difference between the control electrode and the first electrode of the driving sub-circuit; and a threshold compensation sub-circuit, configured to write a threshold voltage of the driving sub-circuit into the first electrode of the driving sub-circuit.