This　paper　studies　the　problem　of　one-dimensional　consolidation　of　soft　clayey　soil　under　cyclic　loading　taking　account　of　rheological　characteristics　of　soft　clayey　soil　and　impeded　boundaries.　A　rheological　model　consisting　of　a　spring　and　a　Kelvin　body　is　used　to　simulate　the　behavior　of　soft　clayey　soil.　The　analytical　solution　to　one-dimensional　consolidation　of　such　rheological　soil　with　impeded　boundaries　under　isosceles-trapezoidal　cyclic　loading　is　developed　by　using　convolution　theorem,　and　is　then　used　to　produce　the　solutions　corresponding　to　simpler　loadings　such　as　triangular　and　rectangle　cyclic　loading.　Based　on　the　solutions,　the　influence　of　some　major　factors　on　the　consolidation　behavior　is　investigated.　It　is　shown　that　rheological　properties　of　soil,　and　boundary　conditions,　as　well　as　loading　types　are　all　of　great　influence　on　the　consolidation　behavior.　Rheological　characteristic　of　soil　has　more　evident　effect　at　later　stage　of　consolidation　than　at　the　early　stage.　A　decrease　in　permeability　of　sand　mat　and　subjacent　bed　will　decrease　the　rate　of　consolidation　significantly.　In　each　cycle,　the　consolidation　rate　reaches　the　maximum　at　the　end　of　constant　loading　phase　and　the　minimum　at　the　end　of　this　cycle.