Abstract: The Fast Dipole Method (FDM) is used for the fast calculation of electromagnetic scattering from composite metallic and material targets, which is based on the Equivalent Dipole-moment Method (EDM). In the FDM, a simple Taylor's series expansion and grouping scheme are used to transform the Matrix Vector Product (MVP) into an aggregation-translation-disaggregation form naturally, which accelerates the MVP remarkably. Further more, the impedance elements related to the far group pairs are not stored, which saves much memory. In addition, the EDM is used to speed up the calculation of mutual impedance elements in the near-field groups. Simulation results are presented to demonstrate the efficiency and satisfactory accuracy of this method.