To solve the security of stereo image in special applications,a stere o image reversible watermarking method using inter-view relationship prediction is proposed in this paper,whic h can recover the original stereo image without loss if the watermarked stereo image is not modified.Accord ing to characteristics of stereo image,a pixel in the left view is matched with a unique pixel in the right view,and strong corre lations between a pair of matched pixels are used to predict pixels accurately,so that the prediction error histog ram with sharp peak is built.Histogram peak point shifting is used to embed watermark,and the multi-layer embedding is utilized to increase watermarking capacity.Moreover,ratios of embedding cost are computed to search optimal zero point for the peak point,consequently data can be decreased for non-embedding shifting,and the quality of the watermarked stereo image is improved significantly.Experimental results demonstrate that the accuracy of the propose d inter-view relationship based predictor is better than that of the existing predictors.Furthermore,image qua lities of the proposed method are better than those of the existing extended reversible watermarking methods relat ive to the same watermarking capacity, and PSNR value enhancement is especially obvious for lar ge watermarking capacity.