A method for driving a display panel and a display device are provided. The driving method includes supplying, during a data writing stage of each row of pixel circuits, a driving voltage VA[i] to the data line corresponding to each of the pixel circuits in a row, and supplying a compensation voltage VS to the second node of each of the pixel circuits in the row, and VA[i]=Vdata[i]+Vth[i]+VS, where Vdata[i] is an original data voltage of an ith pixel circuit of the pixel circuits, i is a positive integer, Vth[i] is a threshold voltage of the driving transistor of the ith pixel circuit, and a range from which a value of the compensation voltage VS is selected is [−Vth_min, 0), and Vth_min is a minimum value among all of the threshold voltages of the driving transistors of the pixel circuits of the display panel.