Abstract: Tape-spring is a kind of self-actuated flexible structures. They rely only on the elastic energy stored when folded and released naturally when unfolded, without the need to deploy external energy sources. Tape-spring are widely used in aerospace fields because of their advantages of high repeatability, high alignment accuracy, light weight and low energy consumption. In this paper, based on the theory of compression rod stability, the peak moment model of the single layer elastic hinge was established to analyze the bucking instability of the hinge, and then the ability of the spatial folding mechanism to resist external loads was estimated effectively. The finite element model of elastic hinges was established by ABAQUS to accurately describe its flexural characteristics. The experimental planning of the sample points was carried out by using the full factor experimental design method. Then a mathematical proxy model was established to describe the flexure characteristics based on the corresponding theory, and the distance between the springs and the center Angle were taken as variables to optimize the design of elastic hinges. The optimal structural parameters to make the tape-spring mechanism have large bending moment and smaller maximum spreading stress are as follows: center Angle is 76°,distance between reeds is 162mm.