We　propose　an　overlapping　community　discovery　algorithm　that　combines　node　influence　and　β-connected　neighbors　for　effectively　detecting　the　overlapping　community　structure　of　complex　networks.　On　the　basis　of　the　node　influence　and　β-connected　neighbors,　our　method　accurately　detects　the　core　node　community　and　uses　the　improved　similarity　between　the　node　and　community　to　expand　the　core　node　community.　Accordingly,　the　discovery　and　optimization　of　network　overlapping　communities　are　realized.　Experiments　on　artificial　and　real-world　networks　demonstrate　that　our　method　significantly　and　consistently　outperforms　other　comparison　methods.　©　2019　World　Scientific　Publishing　Company.