Low-energy inelastic collisions between electrons and oxygen molecules are studied using the trapped-electron method. Peaks in the trapped-electron current are interpreted as vibrational excitation of the oxygen molecule to the states v=1 to v=8. Two of these peaks can be attributed in part to the excitation of the 1∆g and 1Σg+ states. Approximate cross sections at 0.16 eV above threshold are less than 3×10-20 and 6×10-21 cm2 for the 1∆g and 1Σg+ states, respectively. For electronic states above 5 eV, the cross sections at 0.16 eV above threshold are of the order of 10-18 cm2.