The photoelectron spectra of ReO2- and ReO3- have been investigated at 4.99 and 6.42 eV photon energies in a pulsed molecular beam experiment using a laser vaporization cluster source (LVS) and a magnetic bottle type time-of-flight (TOF) photoelectron spectrometer (PES). Electron affinities (EAs) and vertical detachment energies (VDEs) have been measured for both oxides. The EA and VDE of ReO2 are 2.5 +/- 0.1 and 2.7 +/- 0.1 eV; those of ReO3 are 3.6 +/- 0.1 and 3.7 +/- 0.1 eV. These values are in good agreement with those recently determined by Andrews and co-workers [J. Phys. Chem. A 104 (2000) 3457] using infrared matrix spectroscopy and density functional calculations.