The dragonfly wings were taken as the study objects, CAD and finite element analysis software ANSYS were applied to establish the finite element model of dragonfly wings. Through static analysis, the main vein structure was determined as load-bearing structure in dragonfly wings, the main vein and secondary veins coordinating so as to make the overall structure more reasonable. According to the characteristics of dragonfly wings wrinkled structure, the mesh model of rectangular and staggered quadrilateral fold structure was established, different mechanical properties under load were analyzed. The results showed that under the same uniform load, the greater the height of wrinkling was, the smaller structural deformation, and the greater structural stiffness would be. The analysis of quadrilateral mesh (no membrane) model in a different uniform deformation under load of the trend can be seen in the same wrinkle height, as the load increased, the deformation also increased, but as the wrinkle height increased, and with the smaller amount of deformation of the load increased, the quadrilateral mesh stiffness of the structure became slightly larger than staggered quadrilateral mesh structure. Under the same load, the deformation of a membrane mesh structure was always less than no membrane mesh structure.