To discover all cohesion subgroups from the complex network is a critical issue in social network analysis. The research proposes a novel distributed static overlapping community detection method on the MapReduce framework to speed up the performance of community detection. The first step collects all neighbor information of each node in the complex network. Then, the TTT algorithm uses the previous information to enumerate all maximal cliques. Last, the CPM algorithm incrementally merges adjacent maximal cliques to complete the overlapping detection operation. The six datasets collected from YouTube are adopted to show the distributed method whether largely improve the performance in experiment.