Abstract: We combine group velocity formula and phase velocity formula in tilted transverse isotropy (TTI) media with elastic matrix theory in anisotropic media, and design a model in transversely isotropic (TTI) strata with inclined symmetry axis. According to the model, velocity of TTI coal bed phase velocity changes gently with the change of anisotropic parameter while group velocity change fiercely. Therefore, group velocity determines the wave field shape of anisotropic media; Within a certain range, group and phase velocity for qP wave are greater with increasing ε; Group and phase velocity for qSV wave are greater with increasing δ; Group and phase velocity for qSH wave are greater with increasing γ.