In this article, we prove exponential localization for wide classes of Schrr odi-nger operators, including those with magnetic elds, at the edges of unper-turbed spectral gaps. We assume that the unperturbed operator H 0 has an open gap I 0 (B ? ; B +). The random potential is assumed to be Anderson-type with independent, identically distributed coupling constants. The common density may have e...