Multiphonon Raman scattering from LO phonons has previously been observed in CdS in the case where the laser frequency lies near the energy gap. The combined effects of finite wave vector and resonant energy denominators are offered as the explanation for certain features of the scattering. These features include the unusual polarization properties of the single-phonon scattering and the unexpected sharpness of the two-phonon line. The effects of the Fr"ohlich interaction are calculated in lowe