Abstract The disorder characteristic of glasses leads to weak localization of phonons whose ‘wavelengths’ are short compared to the range of density fluctuations in these materials. Results for the rate of phonon-assisted energy transfer due to these localized modes are presented. Two models are used as paradigms of phonon localization: fractons, in which the localization length is many interatomic distances, and Einstein modes, in which the each atom is an independent oscillator. In both cases the energy transfer rate exhibits regularly spaced peaks in the frequency domain, the spacing of the peaks corresponding to the low frequency mobility edge for the phonons localization. The physical reasons for this effect are discussed. Time-resolved site-selection spectroscopy of a series of glasses studied by Gang and Powell also shows regularly spaced peaks with spacings between 12 and 20 cm -1 . A detailed comparison with one of these suggests that energy transfer mediated by localized phonons may be responsible for the experimentally observed structure.