The solution efficiency for the traditional structure dynamic optimization process is relatively low. Based on a discussion of the parameters optimization for the ring truss deployable antenna structures, this research chose the sample points by design of experiment method in the variable parameter space. The response values of the first order natural frequency, total mass, and the maximum deformation with specific loading for the ring truss deployable antenna structures were obtained by the finite element method. The Kriging models, which were established by the relationship between the sample points and response values, were used to find the optimum solution with optimization algorithm. It is required that the optimum solution should satisfy all the constrained conditions. The results showed that the response surfaces of the first order natural frequency, total mass, and the maximum deformation with specific loading for the ring truss deployable antenna structures were nonlinear relationship with the design variable. The structure optimization method with the Kriging approximate model can be used to find the optimum structural parameters of the ring truss deployable antennas accurately.