Abstract: Based on the magnetized plasma constitutive equation, a modified uniaxial perfectly matched layer (M-UPML) absorbing boundary condition (ABC) for anisotropic dispersion media is proposed. The UPML is extended to intercept anisotropic dispersion media through the equivalent relative permittivity. M-UPML finite-difference time-domain method (FDTD) iteration formulas are deduced. Half-space reflection coefficients of nonmagnetic and magnetized plasmas are computed. The results are in agreement with the analytic solutions, and show that the M-UPML ABC has good absorption effect.