Abstract: The flexure hinge is the key part to implement the movement of lamina emergent mechanisms(LEMs). Designing a flexure hinge with good flexibility and high accuracy is always the key problem to research compliant mechanisms. Considering the bending and tension equivalent stiffness comprehensively which influence the stiffness and accuracy characteristics of LEMs hinges and taking the LET hinge as an example,the effects of different parameters on bending and tension equivalent coupling stiffness are analyzed under different loads and the concept of bending torsion and tension compression coupling is introduced. Through the calculations and analyses of a large number of examples,an empirical formula of bending torsion and tension compression equivalent coupling stiffness is derived for the LET flexure hinge. The LEMs slider mechanism is studied based on equivalent coupling stiffness. By the comparison of theoretical calculation and simulation results,the calculating accuracy of the slider's displacement is proved to be improved by the application of the equivalent coupling stiffness formula,and thus the applicability of the equivalent coupling stiffness formula is verified.