Abstract: Based on the spherical vector wave functions in source-free anisotropic plasma and ferrite medium and the first,second spherical Bessel functions satisfying the same differential equation and recursive formula, the electromagnetic fields in termsof spherical vector wave functions in anisotropic ferrite sphere coated anisotropic plasma media are obtained, and then the numericalresults of EM scattering by two concentric anisotropic spheres are given. The results presented here can be used in the microwavedevices and characterization of target.