The　purpose　of　this　paper　is　to　investigate　the　influence　of　Soil-Structure　Interaction　(SSI)　and　Pile-Soil-Structure　Interaction　(PSSI)　on　vibration　control　effect.　Assuming　the　ground　as　an　isotropic　elastic　half　space　and　the　soil　around　the　foundation　as　a　horizontal　and　rotational　spring-dashpot　system,　a　SSI　model　for　buildings　with　rigid　shallow　foundations　is　established.　Based　on　Penzien　model,　a　PSSI　model　for　structures　with　pile-foundations　is　also　set　up.　Then,　after　the　motion　and　control　equations　of　the　SSI　system　and　PSSI　system　are　derived,　the　influences　of　SSI　and　PSSI　on　vibration　control　are　investigated.　Important　parameters　of　soil　and　structures　are　studied.　Numerical　results　show　that　the　SSI　and　PSSI　have　an　obvious　influence　on　the　control　effect　of　structures.　Parameters　such　as　shear-wave　velocity,　embedded　depth　of　soil　and　stiffness　of　superstructure　and　pile,　play　a　significant　role　in　vibration　control.　The　influences　of　SSI　and　PSSI　mainly　depend　on　characteristics　of　the　upper　soil　layer,　hence,　the　SSI　influence　on　buildings　with　rigid　foundations　is　more　obvious　than　that　of　PSSI　on　buildings　with　pile　foundations.