The Biot’s wave equations of transversely isotropic saturated poroelastic media excited by non_axisymmetrical harmonic source were solved by means of Fourier expansion and Hankel transform. Then the components of total stress in porous media are expressed with the solutions of Biot’s wave equations. The method of research on non_axisymmetrical dynamic response of saturated porous media is discussed, and a numerical result is presented. The Biot’s wave equations of transversely isotropic saturated poroelastic media excited by non_axisymmetrical harmonic source were solved by means of Fourier expansion and Hankel transform. Then the components of total stress in porous media are expressed with the solutions of Biot’s wave equations. The method of research on non_axisymmetrical dynamic response of saturated porous media is discussed, and a numerical result is presented.