In　order　to　analyse　the　mechanical　behaviour　of　a　reticulated　shell　structure　under　explosive　load,　a　novel　method　was　proposed　to　calculate　the　dynamic　displacement　response　of　the　cylindrical　reticulated　shell　structure　by　using　the　influence　surface　in　this　article.　First,　the　theory　of　the　dynamic　influence　line　was　developed　and　the　consistency　between　the　dynamic　influence　lines　and　the　static　ones　was　verified.　Then,　based　on　the　theory　of　the　dynamic　influence　line　and　for　the　simplified　calculation　of　dynamic　responses,　the　dynamic　influence　lines　of　a　simply　supported　beam　were　simplified　as　the　static　ones　multiplied　by　the　dynamic　amplification　factor　beta.　And　then　the　explosion　dynamic　responses　of　the　beam　could　be　fast　calculated　using　the　influence　lines.　The　extended　application　of　the　above　method　to　single-layer　cylindrical　reticulated　shell　was　the　influence　surface　method.　The　results　of　numerical　examples　showed　that　the　nodal　displacements　of　the　structure　obtained　by　using　the　influence　surface　method　agreed　well　with　those　obtained　by　using　ANSYS/LS-DYNA.　The　research　results　also　indicated　that　the　influence　surface　method　was　applicable　to　the　node　displacement　calculation　of　the　structure　under　three　different　conditions,　including　the　centre　node　of　the　symmetrical　structure,　the　arbitrary　nodes　(excluding　those　near　the　supports)　of　symmetrical　structure　under　symmetrical　loads　and　the　arbitrary　nodes　of　arbitrary　structures　in　which　the　load　holding　time　is　much　longer　than　the　natural　vibration　period　of　structure.　The　proposed　approach　could　reduce　the　computation　cost　for　analysing　the　explosion　dynamic　response　of　the　reticulated　shell　structure,　thereby　providing　a　more　effective　method　for　the　anti-explosion　design　of　reticulated　shell　structures.