The adjusting truncation-point strategy is applied to enhance the Rate-Distortion (R-D) embedding performance by rearranging the positions of truncation points which are associated with the refinement passes, with steepest rate distortion slope. Experimental results show that compared with JPEG2000 the proposed scheme reduces the number of not feasible truncation points to more than 50%, provides a finer embedded bitstream and achieves an improvement of PSNR ranging from 0dB to 0.10dB in a wide bitrate range.