In　order　to　exploit　the　intra-view　and　inter-view　dependencies　in　stereo　video　coding,　a　fast　joint　motion　and　disparity　estimation　algorithm　is　proposed　in　this　paper.　An　efficient　search　strategy　based　on　the　motion-disparity　constraint　is　developed,　in　which　both　the　motion　and　disparity　vectors　can　be　obtained　simultaneously　with　low　complexity.　Moreover,　a　credible　initial　predictive　vector　set　is　designed　with　the　aid　of　the　temporal　and　spatial　neighboring　blocks　so　that　the　coding　efficiency　can　be　further　enhanced.　The　experimental　results　demonstrate　that　the　proposed　algorithm　can　reduce　more　than　96%　coding　time　compared　with　the　JMVM　full　search　with　a　negligible　quality　drop.