Disclosed are a light emitting diode (LED) display device and a method for driving the same which are capable of decreasing degradation of pixels. The LED display device includes a system for outputting image data to be supplied to pixels, a compensation value generator for determining a drive time of a light emitting element in each pixel, based on the image data from the system, and generating a compensation value for the pixel, based on the determined drive time, a compensation value adjuster for determining at least one of a degree of complexity and a degree of motion in an image for each pixel, based on the image data from the system, thereby adjusting the compensation value generated, for the pixel, from the compensation value generator, and an image modulator for modulating the image data from the system, based on the adjusted compensation value from the compensation value adjuster.