Abstract: Based on orthogonality of spherical vector wave functions(SVWFs), the expansion coefficients of a plane wave, with arbitrary directions of propagation and polarization, for both transverse magnetic and transverse electric modes are obtained in terms of spherical vector wave functions. The scattering of a uniaxial anisotropic sphere illuminated by an arbitrary direction incident plane wave investigated. The internal electromagnetic fields in the anisotropic are expanded in terms of the SVWFs by introducing the Fourier Transform. By matching the fields on the boundary, the scattering coefficients are analytically derived. The effects of permittivity tensor elements, absorption, size parameter, incident angle and azimuth angle on the distribution of radar cross section are numerically analyzed in detail.