A coupled finite element (FE) and element free Galerkin (EFG) approach is used to simulate 3-D stochastic quasi-static fatigue crack growth problems. In this approach, a region near the crack is modelled by EFG, and rest is modelled by FE. A ramp function is utilised to model the transition between FE and EFG domains. Crack growth is modelled by joining the crack increments at the ends through cubic spline segments to obtain a modified crack front. The effect of load and Paris constant is studied on the fatigue life. The probability of failure is obtained using Weibull probability distribution function. © 2015 Elsevier Ltd.