In order to measure the similarity of multi-relational nodes and mine the community structure with multi-relational nodes, a community mining algorithm based on multi-relationship of nodes, called LSL-GN, was proposed. Firstly, based on node similarity and node reachability, LHN-ISL, a similarity measurement index for multi-relational nodes, was described to reconstruct the low-density model of the target network, and the community division was completed by combining with GN (Girvan-Newman) algorithm. The LSL-GN algorithm was compared with several classical community mining algorithms on Modularity (Q value), Normalized Mutual Information (NMI) and Adjusted Rand Index (ARI). The results show that LSL-GN algorithm achieves the best results in terms of three indexes, indicating that the community division quality of LSL-GN is better. The “User-Application” mobile roaming network model was divided by LSL-GN algorithm into community structures based on basic applications such as Ctrip, Amap and Didi Travel. These results of community division can provide strategic reference information for designing personalized package services.