The　incident　direction　of　earthquake　waves　has　significance　on　the　seismic　responses　of　long　lined　tunnels.　In　this　study,　based　on　the　equivalent　node　force　method　and　together　with　the　viscous-spring　artificial　boundary,　the　3-D　input　method　of　SV　and　SH-waves　with　arbitrary　incident　angles　is　studied　firstly.　The　input　method　is　introduced　within　the　framework　of　ABAQUS　software　and　is　verified　by　two　numerical　examples.　Consequently,　the　proposed　input　method　is　employed　to　investigate　the　impact　of　the　incident　angles　of　SV　and　SH-waves　on　the　seismic　responses　of　a　long　lined　tunnel.　The　numerical　results　indicate　that　the　non-linear　seismic　responses　of　long　lined　tunnels　are　highly　affected　by　the　incident　angles　of　S-waves.　As　the　incident　directions　of　SV　and　SH-waves　being　not　perpendicular　to　the　tunnel　longitude,　non-uniform　motions　appear　along　the　tunnel　longitude,　as　well　as　the　longitudinal　internal　forces.　The　plastic　deformation　and　strain　components　along　the　tunnel　cross-section　are　also　influenced　by　the　incident　angles　of　SV　and　SH-waves.　It　is　thus　important　to　include　the　incident　angles　of　earthquake　waves　in　mapping　the　seismic　risk　of　tunnels.　(C)　2017　Elsevier　B.V.　All　rights　reserved.