To increase the axial stiffness of a Lamina Emergent Torsion( LET) under the condition of invariable rotational stiffness, a new tensile flexure hinge was designed by improving traditional LET structures. Base on the structure of Lamina Emergent Mechanisms(LEMs), the whole LET structure was equal to a spring stiffness model. By modeling the spring stiffness model in theory, the closed-form solution was obtained. Then, a Finite Element Analysis ( FEA) model was set up by the ANSYS to analyze the deformations under the rotating load and axial load and to compare with the previous theoretical model. Results show that the equivalent stiffness solution based on spring stiffness model is consistent with that of the simulation analysis, in which the bending tensile stiffness of the tensile LET is only 1.2 times that of the LET, but tensile stiffness is 76.43 times that of the LET. It indicates that the bending stiffness does not increase obviously, but the tensile stiffness of the tensile LET has significantly increased effectively and the tensile capacity of the LET is improved greatly. The design of the tensile LET meets expectation.