The　mechanical　behavior　of　a　composite　deployable　structure　is　investigated,　which　is　a　tube　hinge　with　two　slots.　Based　on　the　Hashin　failure　criterion,　the　mechanical　behavior　and　the　failure　position　of　tube　hinge　bending　process　are　analyzed.　Moreover,　the　feasibility　of　applying　composite　materials　to　tube　hinges　is　verified.　At　the　same　time,　the　influences　of　slot　length,　slot　width　and　circle　diameter　of　tube　hinge　are　discussed.　The　optimal　model　is　established　based　on　response　surface　methodology,　which　aimed　at　maximizing　the　strain　energy　and　minimizing　the　peak　moment.　The　failure　index　during　folding　processes　is　considered　as　constraint.　The　geometric　parameters　of　tube　hinge　are　chosen　as　the　design　variables.　By　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.　©　2020　Journal　of　Mechanical　Engineering.