At present,many heterogeneous wireless access selection algorithms are proposed in published literatures.However,none of them takes competition in resources between users into account.To solve this problem,a wireless network access selection algorithm is presented based on non-cooperative game theory and quantum particle swarm optimization.Firstly,a actual data rate of user is figured out considering way of allocating radio resources;Secondly,a non-cooperative game mode is established to describe this competitive network selection behaviors of user with self-optimization and nash equilibrium is applied to predict the selection results for users;Finally,quantum particle swarm optimization algorithm is employed to find a nash equilibrium.Results show that the proposed algorithm can adapt to dynamic change of network and the competition behavior of user with self-optimization can be rationality interpretated.