A driving method for a color liquid crystal display which drives the color liquid crystal display based on a video red signal, a video green signal and a video blue signal by independently applying a gamma compensation to a clamped video red signal, a clamped video green signal and a clamped video blue signal in gamma compensating circuits in order to make suitable to a red transmittance characteristic, a green transmittance characteristic and a blue transmittance characteristic. With this operation, it is possible to carry out an optimal gamma compensation suitable to a characteristic of the color liquid crystal display and to remove a gradation batter occurring in a specific color.