This　paper　proposes　a　fast　algorithm　particularly　for　the　most　computational　complexity　part　in　a　Multiview　Video　Coding　(MVC)　system-uni-directional　and　bi-directional　predictions.　Based　on　the　stereo-motion　consistency　constraint,　an　iterative　search　strategy　with　adaptive　refinement　search　range　adjustment　technique　is　proposed　for　uni-directional　prediction,　in　which　motion　and　disparity　vectors　can　be　achieved　jointly.　Furthermore,　an　efficient　early　termination　is　proposed　for　bi-directional　prediction　on　the　basis　of　the　analysis　of　multiview　video　sequences.　Experimental　results　demonstrate　the　effectiveness　of　the　proposed　fast　algorithm.