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Along with the continuous development of wireless communication technology and popularization of multi- mode terminal, the seamless fusion of various heterogeneous wireless networks has gradually become the trend of net- work development. The diversified forms of network access enable the multi-mode terminal to dynamically select the ac- cess network with the highest utility value to obtain network service according to specific standard. The study selects a typical heterogeneous network scenario, abstracts users' network selection process to be group game model, adopts the evolutionary methods, and then studies user's network selection process through replicator dynamics. On the basis of it, it puts forwards a kind of network selection algorithm in the view of replicator dynamics and verifies its algorithm perfor- mance through simulation results, and then analyzes the impact of different factors on evolutionary equilibrium in detail.