A　three-dimensional　water-pile-soil　model　is　developed　to　investigate　the　dynamic　responses　of　end-bearing　pile　under　vertical　P-waves.　The　soil　and　pile　are　modelled　as　linear　viscoelastic　media　with　hysteretic　material　damping,　and　the　water　is　modelled　as　linear　acoustic　medium.　The　proposed　model　considers　the　radial　and　vertical　equilibria　of　pile-soil　and　pile-water　as　well　as　three-dimensional　wave　scattering.　The　total　dynamic　response　of　the　system　can　be　expressed　as　the　sum　of　the　free-field　response　and　scattered-field　response.　The　water-soil　interaction　is　considered　in　the　free-field　response,　while　it　is　neglected　in　the　scattered-field　response.　Through　a　precise　theoretical　derivation,　a　closed-form　solution　is　obtained　for　the　total　response　of　the　waterpile-soil　system.　The　present　solution　is　compared　with　several　other　methods　to　verify　the　validity　of　the　method.　The　effects　of　several　factors,　such　as　soil　thickness,　water　depth,　pile　radius,　pile　modulus　and　soil　modulus　on　the　dynamic　response　of　the　pile　head　are　studied.　The　results　indicate　that　it　is　necessary　to　consider　the　water-pile-soil　interactions　in　the　design　of　piles　that　are　installed　in　offshore　areas.