3D holoscopic imaging became recently an appealing technology for glasses-free 3D visualization, allowing a more natural and immersive 3D sensation with continuous full motion parallax. To handle the large amount of data of such systems efficient video coding tools are needed. However, available 2D and 3D video coding standard solutions do not address the specific characteristics of 3D holoscopic content. This paper presents and studies a 3D holoscopic video coding solution that extends the emerging High Efficiency Video Coding (HEVC) standard to efficiently handle this type of content. The proposed solution is based on the concept of self-similarity compensated prediction, which is used to explore the inherent spatial and temporal redundancies of 3D holoscopic content. It is shown that by using self-similarity compensated prediction in both Intra and Inter-coded frames it is possible to improve substantially the coding performance of HEVC for 3D holoscopic video content.