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Localization technology for node in Wireless Sensor Network is one of the supporting technologies which are to estimate unknown nodes to neighbor distance or number, using the information exchanged between the nodes to determine their position in the network.In this thesis, it analyzes the range-free localization algorithm at the same time discusses the advantages and disadvantages of each localization algorithm, as well as, it uses MATLAB simulation analyzing the influence by the density of anchor nodes and the radius of communication.The simulation results indicate that each localization algorithm has its own of the environment, so we should choose the appropriate localization algorithm in different occasions.