The polarized luminescence of KX:Sn**2** plus (X equals Br,I) and KY:Pb**2** plus (Y equals Cl,Br,I) after A band excitation, is discussed. The angular dependence of polarization indicates that these centers possess tetragonal symmetry. In KX:Sn**2** plus , where JT greater than equivalent to SO, the temperature dependence of the polarization is explained by considering the perturbing effect of an nnn v//c** minus on the JT wells. In KY:Pb**2** plus , where SO greater than equivalent to JT, all features of the polarization are explained in terms of an impurity ion-v//c** minus dipole oriented along a C//4 axis (nnn v//c** minus , tetragonal).