Based on the vector diffraction theory, magnetization distributions induced by tightly focusing circularly polarized laser pulses were analyzed in the uniaxial crystal with the inverse Faraday effect. The dependence of the magnetization distributions on the position of the interface was studied. The magnetization distributions in the uniaxial crystal with small birefringence effect and in the isotropic medium were compared. Numerical results show that when the interface is closed to the lens, the positions of the maximum magnetization intensity and the minimum magnetization spot shift along the optical axial direction. The magnetization intensity in the uniaxial crystal is bigger than that in the isotropic medium, but the size of the magnetization spot in the uniaxial crystal is smaller than that in the isotropic medium. For larger ratio (defined as a ratio of the anisotropic optic-magneto constant to the isotropic optic-magneto constant in the uniaxial crystal), magnetization intensity is larger but the magnetization spot is smaller.