A　rigorous　solution　for　the　kinematic　response　of　the　disconnected　piles　under　vertically　incident　P-waves　is　presented.　A　new　soil-pile　column　model　is　proposed　with　two　fictitious　soil　columns　as　the　extensions　of　the　shaft　along　the　pile　top　and　tip.　The　discontinuity　of　the　pile　at　the　two　ends　is　modeled　using　the　Heaviside　function　to　simulate　the　continuity　of　the　soil-pile　column.　The　total　displacement　of　the　soil　is　divided　into　the　free-field　and　scattered　components.　The　displacement　of　the　soil-pile　system　is　calculated　in　terms　of　the　method　of　separation　of　variables　and　the　soil-pile　interaction.　A　parametric　study　indicates　that　for　the　disconnected　pile,　the　displacement　at　the　pile　top　increases　significantly　with　the　increase　of　the　cushion　thickness,　and　its　effect　on　the　scattered　field　is　weak.　The　axial　force　of　the　disconnected　pile　decreases　gradually　with　the　increase　of　the　cushion　thickness.　The　displacement　and　axial　force　of　the　disconnected　pile　are　significantly　influenced　by　the　slenderness　ratio　of　the　pile.