General　classical　statistical　uncertainty　relation　is　deduced　and　generalized　to　quantum　uncertainty　relation.　We　give　a　general　unification　theory　of　the　classical　statistical　and　quantum　uncertainty　relations,　and　prove　that　the　classical　limit　of　quantum　mechanics　is　just　classical　statistical　mechanics.　It　is　shown　that　the　classical　limit　of　the　general　quantum　uncertainty　relation　is　the　general　classical　uncertainty　relation.　Also,　some　specific　applications　show　that　the　obtained　theory　is　self-consistent　and　coincides　with　those　from　physical　experiments.　(C)　2010　Elsevier　B.V.　All　rights　reserved.