A dual emission organic light emitting display device and method of driving the same. The display device includes a pixel driver and an organic light emitting diode that can display different images on a top surface and a bottom surface and/or a same image on both the top and bottom surfaces. The display device includes a top/bottom selector that receives a driving current from the pixel driver and selectively supplies the driving current to a top organic light emitting diode or a bottom organic light emitting diode. The top/bottom selector includes transistors, which are connected between the pixel driver and the organic light emitting diode and select a top emission operation or a bottom emission operation. Here, the circuit configuration of the pixel driver is reduced so that the dual emission organic light emitting display device can be improved in terms of a layout, an interconnection, and an aperture ratio.