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Research on quality supervision in logistics service supply chain under asymmetric information can not only enlarge the theory of logistics service supply chain but also provide guidance for business practice. Considering a supply chain structure including a logistics service supplier and an integrator, a Bayesian Nash equilibrium model under asymmetric information is established based on a basic model of quality supervision in logistics service supply chain under symmetric information and an equilibrium result is obtained, then the influence on quality supervision is considered after a factor that the logistics service integrator will be punished is introduced and a new result of the Bayesian Nash equilibrium is got. Simulation results show that the quality completion level of supplier rises up and the quality supervision level of integrator brings down after the factor is introduced. Therefore, in practice, the level of logistics service can be improved effectively and the overall quality of logistics services supply chain can be enhanced through strengthening the punishment of integrator.