Disclosed is an organic light emitting diode display device and a method for driving the same. The device includes a display panel having a plurality of sub-pixels wherein the sub-pixels formed on each horizontal line are connected to a gate line on the same horizontal line and are further connected to a gate line on a next horizontal line to further receive a gate on signal from the gate line on the next horizontal line so as to display an image, a power supply supplying first and second power signals to power lines of the display panel and supplying a compensation voltage to a compensation power line, and a timing controller for arranging external input video data suitably for driving of the display panel and controlling gate and data drivers such that the image is displayed based on a data voltage compensated for by the compensation voltage.