An　analytical　solution　can　easily　and　quickly　give　the　internal　forces　in　tunnels　due　to　seismic　waves,　by　which,　the　relationship　between　the　key　parameters　could　also　be　clarified.　These　methods　are　widely　used　in　preliminary　seismic　design　of　tunnels.　This　paper　presents　new　analytical　solutions　for　thrust　and　moment　of　circular　composite-lined　tunnels　with　arbitrary　layer　linings　under　obliquely　incident　SV　waves　and　P　waves.　Wherein,　the　lining　is　regarded　as　a　thick-wall　cylinder.　Moreover,　the　proposed　analytical　solutions　can　consider　different　contact　conditions　of　the　ground-tunnel　and　lining-lining　interface.　The　new　analytical　solutions　are　verified　by　comparing　with　the　dynamic　finite　element　analysis　results.　The　results　show　the　accuracy　and　applicability　of　the　proposed　analytical　solutions.　Parametric　analyses　are　performed　to　explore　the　effects　of　the　flexibility　coefficient　δ,　incident　angle　and　steel　lining　on　the　seismic　response　of　tunnels.　©　2022　Elsevier　Ltd