A Fast Melipole Mechod (FMM) is developed as nurnerical approach to the reduction of tile computauorai cost and requirement memory capacity for a large in solving large-scale problems. In this paper it is applied to the boundary integral equation method (BIEM) for current diffraction from arbitrary 3D bodies. The boundary integral equation is dis-crotized by higher order elements, the FMM is applied to avoid the matrix/vector product, and the resulting algebraic e-quatiun is solved by the Generalized Conjugate Residual method (GCR). Numerical examination shows that the FMM is more efficient than the direct evaluation method in computational cost and storage of computers.