A driving method of the FSC-LCD is disclosed. The method includes: calculating grayscale values of four pixels of each images, the grayscale values of four pixels comprises grayscale values for a white pixel, for a first color pixel, for a second color pixel, and for a third color pixel; within a first color field of the n-th image, a white backlight source is provided to the pixel cells, the grayscale value for the white pixel of the n-th image is inputted to the transparent subpixel, the grayscale value for the first color pixel of the n-th image is inputted to the first color subpixel, and the grayscale value for the second color pixel of the n-th image is inputted to the second color subpixel; within a second color field of the n-th image, a third-color backlight source is provided to the pixel cells, the grayscale value for the third color pixel of the n-th image is inputted to the transparent subpixel, a grayscale value is inputted to the first color subpixel and the second color subpixel such that the first color subpixel and the second color subpixel remain in a turn-on state. In addition, FSC-LCD driven by the above driving method is also disclosed.