Disclosed are an organic electroluminescence display having simple configurations of a pixel circuit and a driving circuit by using a frequency characteristic of an organic electroluminescence device to display a gray level, and a driving method thereof. The present invention provides an organic electroluminescence display including a plurality of scan lines for transmitting a scan signal; a plurality of data lines for transmitting a digital data signal; a plurality of emission control lines for transmitting an emission control signal; and a plurality of pixels defined by a plurality of power supply lines for supplying a power supply, wherein the scan signal is transmitted to a plurality of subframes, and the emission control signal have different frequencies in a plurality of the subframes, and a driving method thereof.