A method of driving a display panel determines whether an image mode of an image signal is a 2D flat image mode or a 3D stereoscopic image mode. A first reverse signal and a second reverse signal different from the first reverse signal are generated according to the image mode. The image signal is converted to a first polarity data voltage or a second polarity data voltage with respect to a reference voltage based on the first reverse signal or the second reverse signal, and the first polarity data voltage or the second polarity data voltage is outputted to a display panel. During the 3D stereoscopic image mode, polarities of data voltages are reversed at a period of a plurality of frames, so that display quality of the 3D stereoscopic image may be enhanced.