Abstract: On the basis of first-order quasi-P wave equations in transversely isotropic media with a vertical symmetry axis (VTI), high-order finite-difference schemes in staggered-grid for reverse-time extrapolation were derived. The stability condition and the perfectly matched layer (PML) absorbing boundary condition for the equations were also provided. Prestack reverse-time depth migration of quasi-P wave equations in VTI media using maximum amplitude method of down-going wave-field and normalized cross-correlation imaging conditions was carried out. Numerical experiments of anisotropic Marmousi model show that prestack reverse-time depth migration of quasi-P wave equations in VTI media has no dip restriction or lateral velocity variation restriction, and has good imaging effect for complex models. Reversetime migration imaging condition using normalized cross-correlation has better imaging ability. Additionally, the contrast between the imaging results of anisotropic and isotropic reversetime migration profiles proves that theoretically better imaging results can be obtained using anisotropic migration scheme for P-wave data acquired in anisotropic regions.