An　axisymmetrical　analytical　solution　of　vertical　dynamic　impedance　for　vibration　of　an　end-bearing　pile　in　a　saturated　viscoelastic　soil　was　obtained　by　employing　decomposition　theory　of　differential　operator　and　considering　mixed　boundary　condition　of　pile-soil　interfaces　to　solve　Boer＇s　dynamic　equations　on　porous　medium.　Its　validity　was　then　verified　by　comparing　special　case　of　our　model　with　the　existing　result.　Effects　of　liquid-solid　coupled　coefficient,　length-radius　ratio　of　pile,　modulus　ratio　of　pile-soil,　and　viscous　damping　coefficient　of　soil　on　the　obtained　impedance　of　pile　cap　were　discussed　by　parametric　comparative　analyses.　The　numerical　results　show　that　employing　Boer＇s　porous　medium　model　and　Biot＇s　theory　to　describe　the　saturated　soil　respectively　has　little　influence　on　resonance　frequencies　of　the　pile-soil　system.　Especially,　the　derived　solutions　based　on　them　are　consistent　in　low-frequency　range,　but　in　high-frequency　range,　the　resonant　amplitudes　of　the　solution　based　on　Biot＇s　theory　are　overestimated.　The　above-mentioned　parameters　have　significant　effects　on　the　dynamic　impedance　of　the　pile　cap.　©　2016,　The　Editorial　Board　of　Journal　of　Basic　Science　and　Engineering.　All　right　reserved.