Abstract: On the basis of the research of simple analytical computation on vertical dynamic response of single-pile during the passage of Rayleigh waves,Novak layer method which is applied to compute the dynamic impedance of soil is introduced to analyze the vertical dynamic pile-soil interaction.The computing formula of vertical dynamic response of single-pile is obtained.Based on the computing formula,the effect of pile length,stiffness ratio of pile to soil,Poisson's ratio on vertical dynamic response of single-pile during the passage of Rayleigh waves is studied.Furthermore,the comparison between the results of the formula of this paper and that of the old simple method is made.