The exemplary embodiment of the invention relates to a liquid crystal display device and a driving method thereof. The liquid crystal display device according to the exemplary embodiment of the invention comprises: a liquid crystal display panel wherein data lines and gate lines are disposed crosswisely each other; a controller modulating a first color input data and a second color input data with a first modulation width, and modulating a third color input data and a fourth color input data with a second modulation width higher than the first modulation width; a panel driving circuit supplying a first modulated color data, a second modulated data and a third modulated data to the liquid crystal display panel for a first period, and supplying the first modulated color data, the third modulated color data and a fourth modulated color data to the liquid crystal display panel for a second period; and a backlight device irradiating lights corresponding to the first, second and third modulated color data to the liquid crystal display panel for the first period, and irradiating lights corresponding to the first, third and fourth modulated color data to the liquid crystal display panel for the second period.