Based　on　von　Karman＇s　large　deflection　theory,　the　nonlinear　dynamic　response　governing　equation　of　composite　umbrella　pretensioned　membrane　structure　under　hail　load　is　established.　The　vibration　mode　function　is　obtained　by　the　Bessel　function　and　Euler　equation.　The　governing　equation　is　solved　by　the　KBM　perturbation　method　and　Galerkin　method,　and　the　approximate　analytical　theoretical　solution　of　the　dynamic　response　is　obtained.　In　numerical　analysis,　the　geometric　model　of　umbrella　pretensioned　membrane　structure　is　established　by　using　ANSYS　software,　and　then　the　numerical　results　of　dynamic　response　are　obtained　by　the　LS-DYNA　module.　At　the　same　time,　the　dynamic　experiments　of　umbrella　membrane　structure　under　hail　load　are　conducted.　Finally,　the　analytical　solutions　are　validated　against　the　numerical　and　experimental　results,　which　shows　a　good　agreement.　Therefore,　the　theoretical　methods　and　analytical　solutions　in　this　paper　provide　references　for　the　analysis　of　the　dynamic　response　and　design　of　the　membrane　structures.　©　2022　Elsevier　Ltd