The wings of a dragonfly have many complicated structures. The configuration of the costal vein of the wings of a dragonfly is different from them of other insects. So, we paid attention to the configuration of the costal vein of the wings in this study. In order to know the functions and structures of the wings of a dragonfly, several 3-D models of the wing of Anotogaster Sieboldii were created, and calculated with the 3-D finite element method. In addition, we created a 3-D model of the wing of Hybris Subjacens which has the configuration of original wing, and compared the models of Anotogaster Sieboldii and Hybris Subjacens. As a result, it was clarified that the arch configuration of the costal vein controls the bending and the torsion of the wings.