I presented a P-wave depth migration for transversely anisotropic media based on an extended split-step operator. This TI migration operator resulted to be kinematically accurate on the synthetic model with constant . I presented a generalization of the extended split-step migration in VTI media that handle lateral variations of the parameter by defining different reference 's in a similar way reference velocities are defined. This approach allowed the anisotropic migration image steep events in the Marmousi model. In the same way that the accuracy of the isotropic split-step operator depends on the number of reference velocities used, the anisotropic depth migration depends on the number of reference velocities and 's. The resulting migrated images with the Marmousi data set show that migrating with different reference is a good approach to handle lateral variation of this parameter.