In　order　to　make　a　comprehensive　analysis　of　the　effects　of　different　foundation　soil　on　the　natural　vibration　characteristics　and　seismic　responses　of　a　single-layer　spherical　latticed　shell,　the　analysis　is　made　on　an　integral　model　based　on　a　modified　S-R　(Sway-Rocking)　model.　The　integral　model　consists　of　a　single-layer　spherical　latticed　shell,　a　support　structure　and　its　foundation　soil.　The　numerical　results　show　that　the　nature　periods　of　the　single-layer　latticed　spherical　shell　increase　obviously　and　the　vertical　mode　shapes　appear　earlier　with　foundation　soil　becoming　soft　when　the　cooperative　work　between　the　foundation　soil　and　the　superstructure　is　considered.　The　member　axial　forces　and　the　maximal　vertical　acceleration　of　nodes　decrease　significantly　with　the　foundation　soil　becoming　soft　under　an　earthquake　action.　Furthermore,　the　maximal　horizontal　displacement　of　nodes　increases　gradually　with　the　foundation　soil　becoming　soft,　while　the　maximal　vertical　displacement　decreases.