In　this　paper,　an　air　sector　network　(ASN)　is　built　based　on　the　obtained　data　describing　the　airspace　of　world.　In　the　constructed　network,　nodes　and　edges　represents　the　airports　and　airlines　respectively.　Based　on　the　complex　network　and　the　entropy,　we　find　that　the　airport　rank　obtained　through　the　centrality　and　entropy　theory　is　better　than　that　derived　through　the　traditional　means.　The　improved　entropy　weight　algorithm　is　used　to　reflect　the　location　information　of　the　nodes　in　the　network,　synthesize　the　centrality　of　the　previous　complex　network,　construct　the　importance　evaluation　matrix　and　finally　calculate　the　ranking　results　of　the　importance　of　the　nodes.　Finally,　through　calculation,　we　found　that　the　ranking　result　after　comprehensive　consideration　is　better　than　that　being　determined　only　through　centrality,　which　illustrates　the　effectiveness　of　the　method.