In view of the huge consumption on computation and memory of 3D numerical simulation for anisotropic media with TTI or monoclinic symmetry，and the errors caused by wavefields interpolation of standard staggered grid scheme，this paper adopts the two-dimension threecomponent Lebedev scheme finite-difference algorithm with higher precision and efficiency which can get three components wave-fields with just 2D information of the medium． What’s more，we compare the results with that of 3D by means of cosine similarity analysis． The tests show that the three components from our algorithm have high similarity in wave-fields character，energy and the velocity of particle polarization compared with that of 3D，but the computational resources occupied by our method are just one 2D profiles of 3D simulation，and thus proves an efficient， high-accuracy numerical method special for anisotropic media．