An apparatus for driving an electrophoretic display comprising a data driver applying data voltages to a plurality of pixels where electrophoretic particles are respectively disposed includes a memory storing gray information, level information of data voltages, and application time information of the data voltage, and a signal controller, wherein the signal controller reads the gray information, the level information of the data voltage and the application time information of the data voltage stored in the memory to apply an output image signal to the data driver, again stores the updated application time information of the data voltage to the memory by counting the application time information of the data voltage, compares the gray information stored in the memory with the gray information newly input from the external device, and when the gray information stored in the memory and the gray information newly input are different from each other, again stores the level information of the data voltage and the application time information of the data voltage that are newly updated in the memory based on the gray information that is newly input.