A driving method of a display device and a display device are disclosed. The display device includes multiple scan lines, multiple data lines, and multiple LED lights driven by the multiple scan lines and data lines. The multiple LED lights are arranged in multiple rows and columns. An anode of each LED is connected to the respective scan line. A cathode of each LED is connected to the respective data line. The driving method includes: obtaining a compensated display grayscale corresponding to an LED in an instant row based on a display grayscale of an LED in the previous row, a display grayscale of the LED in the instant row, and a display grayscale compensation table; obtaining corresponding driving parameters according to the compensated display grayscale corresponding to the LED in the instant row; and controlling the LED in the instant row to display according to the driving parameters.