Determinating the search direction too early will make motion estimation fall into a local optimum value in H.264.An integer pixel search method based on prediction for motion estimation is proposed in this paper.Experimental results show that it can improve search precision and decrease computation time.Intra-frame prediction is another important issue in video coding;we present a fast prediction method based on template-macro-block.Results show that it speeds up coding rate about 80% while not lower image quality.