Implicit finite-difference (IFD) extrapolation operator and plane wave migration in TTI media are studied in this paper. The authors design TTI medium IFD wave-field extrapolation operator and solve operator coefficients by non-linear optimization method. Then the authors combine the theory of plane wave migration in isotropic media with the IFD operator in TTI media and extend plane wave migration to TTI media. Comparing the dispersion curves and migration impulse response of the IFD extrapolation operator with the theoretical solution verifies the high accuracy of the operator. Synthetic P-wave data from full elastic TTI equation modeling followed by polarization analysis verifies the accuracy and effectiveness of the method.