Abstract: The present disclosure discloses an AMOLED driving and compensating circuit and method, and AMOLED display device. The driving and compensating circuit including: several driving circuits set inside several pixel regions used for driving several AMOLEDs; an external compensating circuit set outside the pixel regions used for eliminating an effect of threshold voltage of a driving thin film transistors in the several driving circuits set inside the several pixel regions on driving currents passing through the driving thin film transistors.