To solve the copyright protection of stereo images, a robust stereo image watermarking method based on correlations of left and right views is proposed. Because the tucker decomposition can preserve the main energy of the image well, tucker decomposition is performed on left and right views, respectively, to make full use of the correlations of three channels in the color view. Each view is decomposed into three feature images, where the first feature map retains relationships of three channels in each view. Secondly, considering correlations between the left and right views, the first feature images of the left and right viewpoints are combined to be performed by using tucker decomposition, and the main energy features images of the stereo image are obtained. Finally, the main energy feature image is decomposed by singular value decomposition, and watermark is embedded for the purpose of improving the robustness. Experimental results show that the proposed method has high robustness and invisibility, and realizes blind extraction of watermark.