Considering　the　waves　effect　of　soil　under　pile　bottom,　an　axisymmetrical　analytical　solution　is　presented　to　investigate　the　vertical　vibration　of　a　floating　pile　embedded　in　a　saturated　viscoelastic　half-space.　By　employing　the　Hankel＇s　integral　transformation　and　the　decomposition　theory　of　differential　operator　and　considering　the　mixed　boundary　condition　of　pile-soil　interfaces　to　solve　the　Boer＇s　dynamic　governing　equations　for　the　soil,　the　dynamic　impedance　of　the　pile　head　is　obtained.　Furthermore,　the　effects　of　liquid-solid　coupled　coefficient,　length-radius　ratio　of　piles,　modulus　ratio　of　pile-soil　and　viscous　damping　coefficient　of　soil　on　the　obtained　impedance　are　discussed　through　parametric　comparative　analyses.　Some　significant　conclusions　are　drawn.　This　study　may　provide　technical　reference　and　theoretical　support　for　the　related　engineering　practices　to　some　extent.　©,　2015,　Chinese　Society　of　Civil　Engineering.　All　right　reserved.