Based　on　Biot＇s　theory　of　wave　propagation　in　saturated　porous　media,　a　new　analytical　approach　for　the　vertical　vibration　of　a　floating　pile　in　saturated　viscoelastic　soil　is　proposed,　by　combining　the　differential　operator　method　with　a　fictitious　saturated　soil　pile　(FSSP)　model.　As　an　extended　fictitious　soil　pile　model,　the　FSSP　model　can　fully　consider　the　wave　propagation　in　saturated　soil　with　limit　thickness　beneath　pile　toe.　The　analytical　solution　for　the　velocity　admittance　of　pile　head　is　derived　by　introducing　the　completely　coupled　conditions　at　the　pile-soil　interface.　The　accuracy　of　the　proposed　approach　and　relevant　solutions　are　degenerated　and　subsequently　verified　via　comparisons　with　previous　solutions.　In　addition,　comparative　analyses　are　further　carried　out　to　examine　the　effects　of　the　porosity　and　shear　modulus　of　soil　as　well　as　the　layer　thickness　of　the　saturated　soil　layer　beneath　pile　toe　on　the　dynamic　behavior　of　the　floating　pile.　It　is　indicated　that　the　presented　approach　and　relevant　solutions　provide　a　more　wide-ranging　application　for　vertical　vibration　problems　of　a　floating　pile　in　saturated　soil,　which　can　be　degenerated　for　the　vertical　vibration　problems　of　a　floating　pile　in　single-phase　soil　or　an　end-bearing　pile　in　saturated　soil.