Using　the　provinces　data　of　China　from　1997　to　2012,　this　article　built　the　semi-parametric　panel　space　vector　auto-regression　model　to　empirical　test　the　impulse　response　on　foreign　direct　investment　(FDI),　innovation　and　economic　growth　in　time　and　space.　The　estimation　results　show　that:　1)　FDI　on　economic　growth　lagged　effects　of　time　and　space　are　positive.　The　innovation　on　FDI　lagged　effect　of　time　and　space　are　positive,　its　spatial　lag　effect　is　0.8.　Innovation　on　economic　growth　lagged　effects　of　time　and　space　are　negative.　Economic　growth＇s　time　lagged　effect　on　FDI,　innovation　and　economic　growth　are　all　positive,　its　spatial　lag　effects　are　all　negative,　what＇s　more,　the　economic　growth＇s　spatial　lagged　effects　on　FDI　and　innovation　are　much　larger,　namely　-0.86　and　-0.43.　2)　When　the　impact　source　of　FDI　and　innovation　is　Jiangsu　Province,　the　other　provinces　in　response　to　basic　convergence　to　zero　after　six,　and　with　the　neighboring　Jiangsu,　Shandong　and　Zhejiang　province　have　a　more　significant　response,　the　smaller　the　impact　of　the　other　cities　as　the　distance　increases;　the　impact　source　of　economic　growth　in　Guangdong　Province,　the　response　to　other　cities　after　six　basic　convergence　to　zero,　the　smaller　the　impact　of　the　other　cities.　©　2017,　Editorial　Board　of　Journal　of　Systems　Engineering　Society　of　China.　All　right　reserved.