Flexure hinges are significant components for achieving the action of lamina emergent mechanisms (LEMs). It has always been a challenge to design the suitable flexure hinges. The key problem is how to design and accomplish the flexible hinges with fine performance and high accuracy. Analysis on bending deformation of S-shaped flexible hinge and LET-shaped flexure hinge was compared to find a higher precision flexure hinge which was more stable in working status. A new type of flexure hinge was designed which combined the features of LET-shaped hinge with S-shaped hinge. It was named as S-LET-shaped flexure hinge. The structure of the S-LET-shaped flexure hinge was designed and the bending stiffness equivalent was presented. According to the characteristics of the bending stiffness, the bending stiffness equivalent correction coefficient of S-LET-shaped flexure hinge was proposed. By analyzing of bending equivalent stiffness for different dimensions of S-LET-shaped flexure hinges, the correction coefficient of bending equivalent stiffness was obtained and the effectiveness of bending equivalent stiffness was verified. Finally, the results of the finite element simulation of hinge bending deformation and torsion deformation were compared among S-shaped, LET-shaped and S-LET-shaped hinges. The bending deformation capacity of S-LET-shaped hinge was between S-shaped and LET-shaped hinges and the torsional deformation capacity of S-LET-shaped hinge was the smallest among the three kinds of hinges.