To　obtain　a　better　composite　design　of　tape　spring,　an　optimization　process　is　given　in　this　paper.　A　representative　unit　cell　of　plain　woven　composite　material　is　established　using　TexGen.　Through　the　finite　element　analysis　the　equivalent　elastic　constants　are　extracted.　Based　on　classic　laminate　theory　the　ABD　matrix　of　symmetric　ply　laminate　is　derived　and　assigned　to　tape　spring.　The　bending　moment　and　strain　energy　of　tape　spring　made　of　the　foregoing　composite　materials　are　investigated.　Amulti-objective　optimization　model　is　established　with　constraints　of　critical　moment　and　longitudinal　strain.　After　solved　using　the　modified　Non-Dominated　Sorting　Genetic　Algorithm　(ASGA-II),　the　optimal　design　is　obtained　and　then　it　is　simulated　and　compared　to　the　optimal　solution,　results　show　that　there　are　differences　being　less　than　1%,　which　indicates　the　optimal　design　is　accurate.　©　2017　International　Committee　on　Composite　Materials.　All　rights　reserved.