The　dynamic　response　of　slope　under　earthquake　is　significantly　related　to　the　incident　angle　of　seismic　waves.　Based　on　the　indirect　boundary　element　method　(BEM),　the　dynamic　response　characteristics　of　slopes　with　oblique　incident　SH　waves　are　studied　in　this　paper.　First　of　all,　based　on　indirect　boundary　element　theory,　a　BEM　program　for　dynamic　response　analysis　of　rock　slope　has　been　developed　and　validated　by　calculating　the　elastic　reflection　and　scattered　wave　at　an　opened　flat　fracture.　Then,　the　boundary　element　numerical　simulation　is　used　to　analyze　the　response　characteristics　of　different　slopes　under　stress　wave　loading　with　various　incident　angles　in　detail.　If　the　SH　waves　incident　straightly,　the　seismic　amplitude　at　the　shoulder　of　the　semi-circular　depression　terrain　was　the　smallest,　while　the　seismic　amplitude　at　the　highest　point　of　the　semi-circular　convex　terrain　was　the　largest.　The　immense　vibration　appears　at　the　shoulder　of　the　single-slope,　and　the　vibration　at　the　top　of　the　wedge　convex　terrain　was　the　strongest.　With　the　incidence　angle　of　SH　wave　increasing,　the　positions　with　the　maximum　seismic　dynamic　response　of　all　kinds　of　slopes　also　shift,　and　the　seismic　amplification　coefficient　changes　accordingly.　In　addition,　a　slope　in　Zhangmu　Town　is　taken　as　an　example　to　reveal　the　amplification　effect　of　local　bulges　on　ground　motion　in　rock　slops　with　complex　shapes.　The　main　conclusions　can　be　summarized.　The　slope　microtopography　greatly　influences　the　seismic　dynamic　response,　and　the　dynamic　amplification　effect　is　the　most　significant　at　the　top　of　the　raised　mountain　slope.　The　dynamic　amplification　coefficient　and　location　of　the　same　slope　under　the　action　of　seismic　waves　at　different　incidence　angles　are　different.　The　results　of　this　research　have　important　directive　significance　for　evaluating　slope　stability　and　seismic　design.　©　2022　China　University　of　Geosciences.　All　rights　reserved.