High　Efficiency　Video　Coding　(HEVC)　is　a　new　generation　of　video　coding　standard　that　was　officially　released　in　2013.　Its　purpose　is　to　address　the　growing　demand　for　high-definition　and　ultra-high　definition　videos.　HEVC　provides　a　more　efficient　coding　algorithm.　However,　it　brings　a　highly　complex　encoding　computation　in　intra　coding.　In　this　paper,　a　fast　intra-prediction　mode　selection　algorithm　is　proposed　to　reduce　the　coding　complexity.　The　rough　mode　decision　(RMD)　candidate　list　is　improved　by　analyzing　the　prediction　unit　(PU)　mode　correlation;　then　the　probability　of　the　candidate　modes　to　be　selected　as　the　optimal　mode　is　made　full　use　of　to　further　reduce　the　number　of　modes　join　in　the　Rate　Distortion　Optimization　(RDO)　process.　Experimental　results　show　that　the　algorithm　only　increases　the　bitrate　by　0.38%,　while　reduces　the　average　time　by　28.7%.