Based on the general solutions of Biot’s wave motions of transversely isotropic saturated poroelastic media established by the author，the vibration attenuation at ground surface under the point harmonic excitation is researched. And the combined effects of the soil permeability and the loading frequency on the results are analyzed. The calculation results indicate that the characteristics of vibration attenuation of vertical displacement under the low and the high exciting frequencies are different obviously. Of all the parameters of transversely isotropic saturated media

the rates both in osmotic coefficient and in elastic constants between vertical and horizontal direction influence the vertical vibration attenuation mostly. The results also indicate that adopting dynamic model of isotropic saturated medium could not describe exactly the dynamic characters of the saturated poroelastic medium that has obviously anisotropic properties.