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The paper deals with efficient coding of motion data for compression of multiview video with depth maps. This research was done in the context of the new compression technology called High Efficiency Video Coding. In the proposed approach, motion vectors and reference frame indices are predicted from reference view for each pixel using the Depth-Based Motion Prediction (DBMP). The new codec with DBMP compression tool was compared to the multiview HEVC-based codec i.e. a set of HEVC codecs augmented with inter-view texture prediction tools adopted from classic multiview codec (MVC) based on the AVC technology. Extensive experiments show the potential of the new DBMP predictor to reduce bitrate up to 12% against the multiview HEVC-based codec.