Neutron capture by stable palladium isotopes has been measured by time-of-flight techniques at the Oak Ridge Linear Electron Accelerator up to the inelastic 2+ level thresholds for the even isotopes (except 102Pd) and up to 750 keV for the important fission product 105Pd. Resonance parameters were extracted from resolved peaks up to a few keV. Average cross sections for the pure isotopes were derived by linear combinations of the yields from partially enriched samples. Strength functions were fitted to these data in the energy range from 2.6 to 112 keV.