Provided are a video prediction apparatus and method for a multi-format codec and a video encoding/decoding apparatus and method using the video prediction apparatus and method. The video prediction apparatus that generates a prediction block based on a motion vector and a reference frame according to a plurality of video compression formats includes an interpolation pre-processing unit and a common interpolation unit. The interpolation pre-processing unit receives video compression format information of a current block to be predicted, and extracts a block of a predetermined size to be used for interpolation from the reference frame and generates interpolation information using the motion vector. The common interpolation unit interpolates a pixel value of the extracted block or a previously interpolated pixel value in an interpolation direction according to the interpolation information to generate the prediction block.