Abstract.A numerical study was carried out to investigate the effects of fibre orientation angles in an adopted biomimetic flapping wing having two-layered Carbon/Epoxy Composite T300/5208. The purpose of this paper is to understand how different orientation angles with different combinations affect the stresses of a flapping-wing. One flapping cycle was divided into twelve segments and both maximum stress and deformation were calculated for all the segments. The results revealed that, the maximum stress was produced in [0/-45] combination, where the least was found for [45/0]. For all the simulated wings, deformation was found less than 1.8 mm. ANSYS DesignModeler and Static Structural was used to design and perform structural analysis. The findings are helpful in answering why insect wings are so impeccable, thus providing a possibility of improving the design of flapping-wing aerial vehicles.