An apparatus and method for correcting an edge are provided. The apparatus includes a luminance corrector obtaining a corrected luminance value of a center pixel in a first window of a predetermined size, the first window located at the edge of the input image, by using weights assigned according to a luminance difference between the center pixel and each of a plurality of adjacent pixels in the first window or a predetermined difference of variance (DoV) value representing the degree of uniformity in the luminance between the center pixel and each of the plurality of adjacent pixels; and a chrominance corrector correcting a chrominance value of the edge using weights assigned according to a luminance difference between a center pixel and a plurality of adjacent pixels to the center pixel in a second window of a predetermined size based on the corrected luminance value.