The present invention relates to a driving method and device of an AMOLED panel. The driving method of the AMOLED panel comprises a step 10 of detecting the temperature of a detection point of a display panel; a step 20 of calculating a driving current corresponding to the temperature according to a preset function relationship of the temperatures of the display panel and the driving currents; a step 30 of comparing the driving current and a preset threshold current to obtain the compensation gain of the driving current; a step 40 of adjusting a data signal and a gamma signal for driving the display panel according to the compensation gain of the driving current; a step 50 of real-timely detecting the brightness of the display panel, when the brightness attenuates to a preset threshold value, compensating the brightness to the initial brightness by improving the driving current. The present invention also provides the corresponding device. According to the driving method and device of the AMOLED panel provided by the present invention, under the premise that the driving current of the panel is constant, by an OLED service life promotion algorithm, the service life of the OLED panel can be prolonged, and further the accuracy of a service life promotion model of an OLED device is guaranteed.