With　the　development　of　community　detection　algorithm,　traditional　clustering　methods　are　hardly　capable　enough　to　meet　our　needs.　This　paper　proposes　a　new　algorithm　based　on　spectral　method　that　can　identify　the　overlapping　and　hierarchical　communities　in　complex　networks.　Experiments　on　artificial　and　real　datasets　are　conducted　to　verify　the　algorithm　by　comparing　it　with　other　algorithms.　The　experimental　results　show　that　our　algorithm　can　efficiently　identify　overlapping　communities　in　complex　networks　and　find　hierarchies　of　the　communities.