The present invention is related to a method and an apparatus for processing a dead pixel, more specifically to a method and an apparatus thereof for detecting and compensating a dead pixel that can maintain a good image quality by reducing image distortion and deterioration. With the present invention, the distortion of an image, caused by erroneously classifying a normal pixel of an inputted image as a dead pixel, is significantly reduced, thereby improving the quality of a processed image. Moreover, based on the characteristics of the inputted image, the algorithm and accuracy of detecting a dead pixel can be adjusted.