Based on compressed double segment flexure hinge，the four segment X-shaped flexure hinge was designed，and its structure characteristic was studied.As the major deformation segment of X-shaped flexure hinge is bending-torsional coupling segment，the analysis on the equivalent stiffness of bending torsion coupling was performed by differential method and the method based on compressed double segment flexure hinge，and the theoretical calculation formula of the equivalent stiffness of X-shaped flexure hinge was derived.Several examples of X-shaped flexure hinge with different sizes were presented，the equivalent stiffness of these examples was calculated by two calculation formulas，and the simulation analysis on these examples was then carried out through ABAQUS software.The results of the three methods have showed the correctness of the theoretical calculation formula and the simulation model.Finally，the range of structural parameters that should be avoided when designing the hinge was obtained by the analysis of the structure characteristic.