The　overall　influence　of　the　uncertainty　of　geotechnical　parameters　on　the　pile-anchor　support　system　is　studied　to　explore　the　joint　role　of　economy　and　robustness.　The　failure　probabilities　and　standard　deviations　of　different　design　combinations　are　obtained　by　Monte　Carlo　with　point　estimate　method,taking　into　the　three　failure　forms　of　uplift　failure,overturn　failure　and　overall　stability　failure.　The　robustness　optimization　design　of　the　pile-anchor　support　system　is　selected　by　considering　the　economy　of　the　optimization　design,by　selecting　engineering　cases　in　loess　areas.　With　the　increase　of　pile　length,the　main　control　mode　changes　from　uplift　failure　to　overall　stability　failure,as　the　pile　length　increases,and　different　geometrical　parameters　have　an　impact　on　the　structural　robustness,the　optimal　design　solution　can　be　obtained　after　optimization　to　meet　the　requirements　of　economy,robustness　and　reliability.　It　is　important　to　consider　economic　optimization　and　robust　design　for　multiple　failure　modes　in　the　design　of　pile　anchor　structures.　©　2024　Editorial　Department　of　Journal　of　Shenyang　Jianzhu　University　(Natural　Sciences).　All　rights　reserved.