We have studied the structures of the Earth’s crust and upper mantle of the Asian continent using a representative sample of dispersion curves of group velocities of fundamental-mode Rayleigh and Love waves for more than 3200 seismic paths. Maps of distributions of variations in group velocities with periods of 10 to 250 s over a spherical surface were calculated by the 2D tomography method. The maps reflect the deep structure of the Earth’s crust and upper mantle of the study area and give a tentative idea of the horizontal distribution of the anisotropic properties of the mantle matter. The obtained data are confirmed by the calculations of the velocity profiles of SV- and SH-waves for the entire Asian continent and for its regions. Vertically, anisotropy is observed to the depths of ~250 km, with its maximum in the depth range from the bottom of the crust to 150 km.