In order to research the scattering properties of Hermite-Gaussian beams in anisotropic media, the paper used a cylindrical vector wave function for the scattering field and internal field of an anisotropic cylinder. Using electromagnetic field boundary conditions and projection method, a method was proposed. The accurate semi-analytical method for studying the scattering properties of Hermite-Gaussian beams from uniaxial anisotropic cylinders was analyzed. The normalized intensity distributions of both the internal-field and near fields of the Hermitian-Gaussian beams through an uniaxial anisotropic cylinder were obtained. The analysis and comparison of two different Hermitage beam incidents were carried out. The results show that both beams have a standing wave phenomenon caused by the superposition of incident and reflected waves after passing through the cylinder, while the TEM10(x′) mode Hermite-Gaussian beam has a enhanced near-field intensity and a significant refraction phenomenon after its incidence. The research results have certain reference value for the application of Hermite-Gaussian beam.