Composite　materials　with　intriguing　mechanical　properties　are　introduced　into　special　deployable　structure.　The　tube　hinge　in　this　research　is　investigated,　which　has　a　base　tube　structure　with　one　slot.　However,　due　to　large　rotation　and　large　nonlinearity,　the　composite　tube　hinge　has　material　failure,　thus　leading　to　deployment　failure.　To　overcome　the　problem,　Hashin　failure　criterion　is　used　for　checking　the　extent　to　which　the　material　is　damaged　in　folding　processes.　The　optimal　model　is　established　base　on　response　surface　methodology,　which　aimed　at　maximizing　the　strain　energy　and　minimizing　the　peak　moment　to　ensure　full　deployment　stably.　The　failure　index　during　folding　processes　are　subjected　(less　than　1)　to　avoid　material　damage.　The　length　of　slot　L,　width　of　slot　D,　diameter　R　and　thickness　T　of　tube　hinge　are　chosen　as　the　design　variables.　Using　the　non-dominated　sorting　genetic　algorithm,　the　optimum　parameters　are　obtained　by　solving　the　multi-objective　optimal　model.　The　proposed　method　has　significance　on　designing　novel　deployable　structures　with　high　stability　and　reliability.　©　Published　under　licence　by　IOP　Publishing　Ltd.