Disclosed is a three dimensional liquid crystal display device (3D LCD device) which facilitates to improve a picture quality of a three-dimensional image (3D image) by color and luminance corrections, and a method for driving the same, wherein the device comprises an image data analyzer which analyzes a luminance level for each of R, G, and B colors of original image data inputted to display the 3D image; an image data converter which generates color correction data for adjusting a color balance of the R, G, and B colors distorted by the shutter glass, and generates gamma correction data for compensating a luminance reduction, on the basis of luminance analyzing results provided from the image data analyzer; and a timing controller which converts the input image data into image data of a frame unit, reflects the color correction data and the gamma correction data in the image data of the frame unit, and supplies the corrected image data to a data driver.