A numerical method is presented for the problems of transverse magnetic (TM) and transverse electric (TE) multiple scattered fields from homogeneous dielectric and imperfectly conducting parallel cylinders. The numerical solution uses fictitious filamentary sources to simulate the field scattered by and transmitted into the cylinders. The currents of the fictitious sources are solved for subject to the boundary conditions. Numerical results, for multiple scattering by two cylinders having different parameters, are given and compared with method of moments solutions.