A display device and a driving method thereof are provided. The driving method includes supplying a first voltage Vp1 to a sub-pixel of the display device through data lines in a first stage of a control period for displaying an image. A time for displaying the image includes a plurality of control periods, and the control period includes the first stage and at least a second stage following the first stage. The driving method also includes supplying a second voltage Vp2 to the sub-pixel through the data lines in the second stage. A gate scanning frequency of the first stage is F1 and a gate scanning frequency of the second stage is F2. When the first stage ends, the sub-pixel has a pixel voltage Vp3, F1 |Vp3|.