Neutron transmission measurements on natural rhenium were made in the energy region from 3 to 300 eV, using a LINAC neutron time-of-flight spectrometer. The resonance parameters of 185Re and 187Re were obtained below 120 eV by area and shape analyses based on the Breit-Wigner single level formula. Isotopic assignments of levels were taken from the data of other authors. The strength functions deduced are (1.8±0. 6)× 10-4 for 185Re and (1. 5±0.5)× 10-4 for 187Re. Correlations between level spacings were searched for and a series of equidistant levels was found in both nuclei.