In this paper，the research status of reliability analysis methods based on stochastic finite
element method was presented，and four commonly used stochastic finite element methods were introduced：
direct Monte-Carlo method，Taylor expansion stochastic finite element method，perturbation stochastic finite
element method and Neumann expansion stochastic finite element method. Then，five reliability analysis
methods based on the stochastic finite element method were mainly discussed：stress-strength integration
method，functional function integration method，reliability index calculation method，random sampling
method and response surface method. Furthermore，the next step of reliability research was discussed.
