In order to obtain the pure P and SV and SH waves in the TTI media. The rotated staggered grid finite-difference method was used to simulate the waves propagate in the TTI media, and the properties of the P、SV、SH polarization directions perpendicular to each other was used to decompose the coupled waves. This method is testified by thecomparison of the original wave-field and the decomposed wave-fields of a homogeneous media and a complex 6 layers media.