Numerical　approach　to　the　impact　response　of　laminated　composite　thin　plate　with　multiple　delaminations　under　the　low-velocity　is　proposed.　Based　on　the　stacked　shell　elements,　a　new　technique　is　used　to　study　the　laminated　thin　plate　with　arbitrary　number　and　oriented　plies.　The　stacked　shells　are　tied　by　the　constrain　conditions　to　ensure　structural　integrity.　Arbitrary　number　and　size　of　delaminations　at　any　location　of　the　laminate　plate　can　be　represented.　Moreover,　in　order　to　prevent　the　interpenetration　of　delaminated　surface,　contact　constraint　conditions　must　be　imposed.　To　satisfy　the　tied　and　contact　constraint　conditions,　a　new　accurate　and　adequate　method　is　derived　for　the　stacked　shells.　Based　on　the　proposed　approaches,　we　have　developed　a　program　and　used　it　to　do　numerical　simulation　of　response　process　of　long-fiber　reinforced　carbon/epoxy　composite　laminate　plate　under　low　velocity　impact.　A　good　agreement　between　the　numerical　results　and　the　corresponding　test　data　is　obtained.