To　study　homological　dimensions,　the　finiteness　of　the　weak　global　dimension　of　algebras　was　investigated　by　the　theory　of　recollements.　Assume　that　(D(Mod　B),D(Mod　A),D(Mod　C))　is　a　standard　recollement　of　derived　categories.　Results　show　that　if　the　standard　recollements　satisfy　some　conditions,　then　the　weak　global　dimension　of　the　algebra　A　is　finite　if　and　only　if　so　are　the　algebras　B　and　C.　As　an　application,　results　show　that　the　finiteness　of　the　weak　global　dimension　of　an　algebra　is　invariant　under　derived　equivalent.　©　2018,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.