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How to detect the local community of multilayer network is one of the hot issues in recent years.Existing algorithms focus on the design and improvement of monolayer network，However, a node often exists in various relations.Therefore, how to find the community structure of multilayer network is a more meaningful research issue.A multilayer network community detection algorithm based on hierarchical cover is proposed .The algorithm combines the RA similarity to extract the topological information of the inner and outer connections of each layer, and extracts the community structure by comparing the topological information of each layer.The experimental part tests the effectiveness of the algorithm,The test results show that compared with CLECC and CLEDCC algorithms, the proposed algorithm not only reduces the time complexity, but also improves the accuracy of detecting the community.Meanwhile, we can determine the relationship between the nodes without direct connections in the multilayer network.