Deform-X flexure hinge was designed, and its equivalent stiffness was analyzed by using differential methods, and the theoretical calculation formula of the equivalent stiffness of Deform-X flexure hinge was derived. Through theoretical analysis and ABAQUS simulation analysis of Deform-X flexure hinge in a size, the correctness of calculation formula of the equivalent stiffness of Deform-X flexure hinge was verified. By comparing the performance of X-shaped flexure hinge with the same shape and size as the Deform-X flexure hinge, the bending deflection angle of the Deform-X flexure hinge was about three times of that of the X-shaped flexible hinge under the same torque. Bending failure analysis of X-shaped flexure hinge and Deform-X flexure hinge was carried out, and the results showed that the available using range of Deform-X flexure hinge was wider than that of X-shaped flexure hinge. The four-bar mechanism model based on Deform-X flexure hinge was manufactured. The test and simulation analysis showed that the Deform-X flexure hinge can realize the expected deformation. In addition, the four-bar mechanism model based on X-shaped flexure hinge was established in ABAQUS. Through the comparative simulation analysis, in the case of the same size, the bend deformation performance of four-bar mechanism based on Deform-X flexure hinge was better than that of four-bar mechanism based on X-shaped flexure hinge.