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Electromagnetic scattering is investigated for an arbitrarily shaped bi-isotropic body of revolution. The surface equivalent principle is applied to represent the electromagnetic fields inside bi-isotropic material in term of equivalent surface electric and magnetic currents, and a field decomposition method is introduced to simplify the handling of these equivalent surface currents. By enforcing boundary condition, a set of coupled surface integral equations is established. Incorporated by Galerkin procedure, Method of Moment is used to solve this set of equations. To utilize the rotational symmetry of body of revolution, the equivalent surface currents are expanded in term of Fourier series, and then expanded in terms of triangular basic function. The solution is implemented with a computer program written in Fortran language. To validate this solution, bistatic radar cross section of scattering by two different bi-isotropic scatters are presented, and good agreement is found.