Abstract: In a general design guideline for the spacecraft vibration fixture, its stiffness should be as large as possible without any assembly interference to the tested product. Meanwhile, the weight of the fixture should be as small as possible for the consideration of the vibration test condition. In order to improve the efficiency of the fixture design and avoid problems of FE re-meshing and optimization at each iterative step, the Kriging surrogate model is employed to replace the original dynamical input-output relation. To further improve the efficiency of the surrogate model updating, a new multi-points addition criterion based on the chaos neighborhood search is proposed. It means that not only the current optimal point, but also the correlated points are added to update the surrogate model, which can improve the precision of the surrogate model in a short time. A numerical simulation of a typical spacecraft fixture for the dynamic environment test is performed, and the geometrical parameters of the vibration fixture are optimized. The effectiveness and the high efficiency of the proposed method are demonstrated by the obtained results.