Disclosed is a light emitting display device capable of minimizing deviation of current driving capability between driving switching devices of respective pixels, thereby achieving enhanced screen quality. A method of driving the light emitting display device includes sensing the threshold voltage and mobility of driving Thin Film Transistor (TFT) of each pixel through each data line or each power line using a first sensing voltage; correcting an error of the mobility between the driving TFTs by again sensing the mobility of the driving TFT of each pixel through each data line or each power line using a second voltage; and compensating for video data to be displayed on a display panel using the threshold voltage and the corrected mobility.