In　order　to　reduce　the　complexity　of　intra　prediction　for　High　Efficiency　Video　Coding(HEVC),　this　paper　proposes　an　early　termination　algorithm　for　Coding　Units　(CUs)　and　a　fast　mode　selection　algorithm　for　Prediction　Units　(PUs)　based　on　statistical　analysis.　The　early　termination　algorithm　is　to　calculate　the　distribution　of　rate-distortion　cost　under　different　quantization　parameters　(QPs),　obtain　the　correlation　between　size　and　rate-distortion　cost,　and　set　the　rate-distortion　cost　threshold　of　the　coding　unit　to　perform　early　termination　division.　The　fast　mode　selection　algorithm　uses　the　distribution　characteristics　of　the　best　mode　and　the　correlation　of　the　Hadamard　transform　cost　between　adjacent　angle　modes　to　filter　the　number　of　modes　that　enter　the　Rough　Mode　Decision(RMD)　and　the　Detailed　Mode　Decision(DMD).　Experimental　results　show　that　compared　with　HM16.7,　the　algorithm　in　this　paper　can　reduce　the　coding　time　by　about　44%　under　the　premise　of　ensuring　performance　©　2022　IEEE.