The present invention relates to an organic electroluminescent display and a driving method thereof, which divides one frame into a plurality of subframes. Since the present invention divides one frame into several subframes, and drives an organic EL device with the subframes assigned to the upper bits and with the corrected gray data for representing the detailed grays between the basic grays during the subframes assigned to the lower bits, it is possible to represent sufficient number of grays regardless of the unstable luminescence characteristics of an organic EL device.