The manufacturing deviation of grids structures was assumed to be in normal distribution, and the normal random sampling was realized by acceptancerejection method. Based on the finite element method and probability method, the initial displacement and stress of grids structures due to manufacturing deviation were analyzed. Numerical example showed that the random manufacturing deviation produced large initial stress, which induced buckling failure of some spatial grid members, and had a large effect on the safety of the grids structures and could not be ignored. It also showed that the method obtained had guiding significance for the design and fabrication of grids structures.