A method of driving a liquid crystal display apparatus includes gamma-correcting first and second gray scale data using a first gamma value to generate first and second luminance data; generating sub luminance data based on a smaller value of the first and second luminance data; correcting the sub luminance data using a second gamma value larger than the first gamma value to generate sub correction luminance data; correcting the first luminance data using the sub or second luminance data to generate first correction luminance data; correcting the second luminance data using the sub or first luminance data to generate second correction luminance data; performing inverse gamma correction on the first, second and sub correction luminance data using the first gamma value to generate first, second and sub correction gray scale data; and providing first to third pixels with the first, second, and sub correction gray scale data.