The lossless(reversible)discrete cosine transform(DCT) is a very useful transform because it can realize easily an unified lossy/lossless image coding with a compatibility with conventional scheme such as JPEG and MPEG. But on conventional transform coding based on lossless DCT, its compression performance at high-bit rate coding is poorer at high-bit rate coding and it can't ensure the quantity of the maximum error of recovered image. We propose a new transform coding based on lossless DCT in this report. Proposed method can solve the problem in conventional method.