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With the rapid increase in the scale of airports and flight operation duration in my country, the reliability of navigation light power supply system is getting higher and higher. In this paper, a reliability analysis model based on multi-state common cause failure is proposed for the navigation light power supply system. Firstly, the multi-state model of the components is established according to the fault transfer relationship between multiple series components in the system. Secondly, for the single assignment problem of the traditional common cause failure β-factor, a structural modification C-factor is introduced. Establishment of an improved β-factor common-cause failure analysis model for the redundant navigation light power supply system. Take the domestic typical airport lighting power supply system as an example. By establishing traditional, multi-state Bayesian models and calculating reliability before and after common cause failure. It is proved that the multi-state common cause failure Bayesian model can correctly describe the navigation light power supply system. The model complexity is lower and closer to the actual situation of the system. Finally, use Bayesian reverse reasoning to find the weak link of the navigation light power supply system.