Part of the challenge in designing LEMs (Lamina emergent mechanisms) comes in designing the suitable flexure hinges. A new S-shaped flexure hinge used on LEMs was proposed and its structure was designed. The bending stiffness equivalent and torsion stiffness equivalent of the S-shaped flexure hinge was presented. By theoretical calculation and finite element simulation analysis of the design example, the correctness of the calculation formula and simulation models was verified. The LEMs slider mechanism base on S-shaped flexure hinge was produced. The FEA model and test results prove that this mechanism can produce large deformation with high accuracy in operating state, when the displacement of slider reached to 76.mm, the FEA and test results are basically the same, the deviation between them is 0.76%.