A method of and an apparatus for predicting discrete cosine transform coefficients. A discrete cosine transform coefficient prediction method and apparatus performs a discrete cosine transform on a row and column of pixel blocks nearest to a transform coefficient to be predicted in a discrete cosine transform block to be predicted among pixel blocks adjacent to the discrete cosine transform block to create a prediction coefficient for the transform coefficient to be predicted, and predict the transform coefficient to be predicted using the created prediction coefficient. By using prediction coefficients with higher correlation to a transform coefficient of a discrete cosine transform block to be predicted, an image may be efficiently compressed.