The multiscale phase inversion (MPI) methodology is extended to anisotropic media. MPI is developed to avoid the cycle-skipping problem of full waveform inversion (FWI) by temporally integrating the traces several times. The input data are also filtered into different narrow frequency bands for the MPI implementation and the magnitude spectrum of the recorded data is used to replace that of the predicted data. The simultaneous inversion of anisotropic parameters vp0 and e is performed while d is set as 0. Numerical tests on synthetic data and field data demonstrate the superiority of this method compared to conventional multiscale full waveform inversion.