Disclosed are an electroluminescent display and a driving method thereof, the method comprising: generating a predicted value, indicating a degree of degradation of pixels, by accumulating pixel data of an input image at each pixel: and generating a compensation value by adjusting the predicted value to a current measurement value which is obtained by measuring a current in a power line connected to the pixels. Compensation data, which is to be written into each of the pixels, is generated by modulating the pixel data with the compensation value.