A method and apparatus for intra predicting a video. The method includes: determining availability of a predetermined number of adjacent pixels used for intra prediction of a current block; if a first adjacent pixel is unavailable, searching for a second adjacent pixel that is available by searching the predetermined number of adjacent pixels in a predetermined direction based on the first adjacent pixel; and replacing a pixel value of the first adjacent pixel with a pixel value of a found second adjacent pixel. At least one third adjacent pixel in another location, which is not available and excludes the first adjacent pixel at a predetermined location, is sequentially replaced by using a directly adjacent pixel in a predetermined direction.