The polarization of fluorescenoe in hexagonal (wurtzite) crystals of CdS and ZnS gives a clue to the symmetry of the states between which the luminescent transition occurred. Unfortunately this clue is at present equivocal: there are many models for the center which would be consistent with the observed polarization. Various symmetry properties of the wurtzite structure and the band structure of CdS and ZnS at k = 000 are discussed. These symmetry and band structure considerations are used to set up and consider various models. Lambe- Klick. SchoenKlasens, etc., which would be in accord with observation of polarization. It is concluded that the Lambe-Klick model is the simplest which is in accord with the available observations. Some experimental tests are proposed which should help the decision among the various models. In conjunction with other single crystal optical, electrical, and magnetic measurements, polarization studies may prove decisive in obtaining quantitative knowledge about the centers in sulfides. (auth)