The bending fatigue reliability of gear teeth has been analyzed by perturbation stochastic meshless point interpolation method（PSMPIM）.In the meshless point interpolation method the problem domain is represented by properly scattered points.A technique is proposed to construct polynomial interpolants with delta function property based only on a group of arbitrarily distributed points

so the essential boundary conditions can be implemented with ease as the finite element methods.With application of perturbation technique

a perturbation stochastic meshless point interpolation method in probabilistic structural analysis is constructed

and the bending fatigue reliability of gear teeth has been analyzed by stochastic meshless point interpolation method.Numerical example shows that stochastic meshless method has obvious advantages in the probabilistic structure and reliability analysis