A study of the average s- and þ-wave resonance parameters of 115In and 127I has been carried out by activation of samples in a 10B filtered beam of epithermal neutrons from a reactor. Neutron strength functions were obtained that are comparable to recent values obtained by total-cross-section studies but somewhat lower than earlier capture measurements. The s- and þ-wave neutron strength functions for 115In were found to be 0.09 ± 0.03 × 10−4 and 3.9 ± 1.4 × 10−4, respectively, and for 127I, the corresponding values were found to be 0.42 × 10−4 and 0.83 ± 0.20 × 10−4. The average energy-dependent neutron cross sections from 1 to 100 keV were computed for both isotopes from the experimentally determined resonance parameters.