Electroluminescent display devices and a method for driving the same are disclosed. An electroluminescent display device according to an embodiment of the present disclosure includes a display panel including a plurality of pixels emitting light according to image data, a first memory storing a stress accumulation value corresponding to the image data, and a compensation gain calculation circuit configured to increase a compensation gain for compensating for the image data on the basis of the stress accumulation value, wherein the stress accumulation value in the first memory is reset whenever the compensation gain increases.