Abstract: A time-domain explicit finite element method for the elastic wave propagation of transversely isotropic fluid-saturated porous media is put forward. The space decoupling technology is adopted for the space discretization and the time-domain explicit step-by-step calculating format for the time discretization. Using the method, the dynamic response of transversely isotropic fluid-saturated porous media is calculated and analyzed, and the calculated results are compared with those of isotropic fluid-saturated porous media. The effect of the value of anisotropic coefficient on the calculated results of the dynamic response of transversely isotropic fluid-saturated porous media is also studied. The calculated results show that the dynamic response of transversely isotropic fluid-saturated porous media has remarkable difference from that of isotropic fluid-saturated porous media, and the value of anisotropic coefficient has a significant effect on the calculated results of the dynamic response of transversely isotropic fluid-saturated porous media. Meanwhile, the present numerical calculation indicates that the time-domain explicit finite element method is effective for the calculation and analysis of the dynamic response of transversely isotropic fluid-saturated porous media.