Electromagnetic scattering of arbitrarily shaped 3-D homogenous dielectric objects located above a lossy half space is investigated.With spatial domain half-space Green's functions surface integral equations are studied to reduce iterations and to enhance efficiency of the method of moment(MoM).An integral equation called JMCFIE is extended to half-space to realize accurate and fast solution.This formulation leads to a well-conditioned matrix equation with RWG basis functions and Galerkin's method.Numerical results demonstrate accuracy and efficiency of the proposed method.