The magneto-optical Kerr effect of GaN in Terahertz region is calculated by means of the Drude model. The influence of lattice vibration on the Kerr spectrum of GaN is theoretically discussed. Meanwhile, the change of Kerr rotation under different carrier densities and external magnetic fields is numerically analyzed. The 3D profile view of Kerr rotation and the average reflectivity are also presented. (C) 2004 Elsevier B.V. All rights reserved.