This paper presents a new multi-view stereo image synthesis using binocular symmetric hole filling. In autostereoscopic displays, multi-view synthesis is needed to provide multiple perspectives of the same scene, as viewed from multiple viewing positions. In the warped image at a distant virtual viewpoint, it is difficult to generate visually plausible multi-view stereo images in multi-view synthesis since very large hole regions (i.e., disoccluded regions) could be induced. Also, binocular asymmetry between the synthesized left-eye and right-eye images is one of the critical factors, which leads to a visual discomfort in stereoscopic viewing. In this paper, we maintain the binocular symmetry using the already filled regions in an adjacent view. The proposed method introduces a binocular symmetric hole filling based on the global optimization for binocular symmetry in the synthesized multi-view stereo images. The experimental results showed that the proposed method outperformed those of the existing methods.