A simple moment solution is given for the problem of the electromagnetic transmission through two-dimensional radomes. The radome is composed of one or more layers of lossy dielectric shells of arbitrary cross sections. The equivalence principle is used to replace the surface of the radome by equivalent electric and magnetic currents. The boundary conditions on the tangential component of the total electric field yields a set of coupled integral equations for the equivalent currents. The integral equations are solved by the method of moments with pulse expansion and point-matching technique. Computed results are the equivalent surface currents, the near field and the far field.