The　water-pile-soil　model　on　viscoelastic　half-space　is　developed　to　investigate　the　dynamic　responses　of　an　end-bearing　pile　subjected　to　the　horizontal　dynamic　loads.　The　pile　is　assumed　to　be　viscoelastic　material　with　a　circular　cross-section　and　can　be　divided　into　several　pile　segments　in　a　water-pile-soil　system,　in　which　the　soil　and　water　are　modeled　as　linear　viscoelastic　media　and　linear　acoustic　media,　respectively.　The　pile-soil　with　viscoelastic　half-space　and　pile-water　with　rigid　ground　vibration　are　solved　by　the　potential　function　decomposition　and　the　variable　separation　method,　respectively.　The　displacement　response　of　the　pile　is　then　obtained　based　on　the　continuity　conditions　between　the　pile　and　soil　and　water.　The　predictions　of　the　present　solution　are　compared　with　numerical　method.　Moreover,　the　present　solution　can　be　degenerated　into　a　rigid　foundation　and　verified　the　rationality　with　existing　analytical　solutions　and　numerical　methods.　Parametric　analyses　are　further　conducted　by　using　the　present　solution　to　evaluate　the　relationships　between　water　and　pile-soil　parameters,　especially　focus　on　the　influence　of　the　soil　viscoelastic　half-space　shear　modulus.　The　results　indicate　that　it　is　necessary　to　consider　the　influence　of　the　viscoelastic　half-space　at　the　pile　end　soil　when　the　pile　elastic　modulus　is　relatively　small　in　the　design　of　offshore　cast-in-place　piles.　©　2022　Elsevier　Ltd