We report the absolute differential and integral cross sections of the forbidden atomic oxygen 3P→3P, 10.99 eV, and 3P→5P, 10.76 eV, transitions for incident electron impact energies of 13.87 to 100 eV. These measurements are an extension of excitation cross section results that were reported previously at 30 eV incident energy by Gulcicek and Doering (1987). The differential cross sections (DCS) for the 3P→3P transition are forward peaked, although not as strongly as for an electric dipole allowed transition and became flatter at the lower incident energies. The DCS for the 3P→5P transition is roughly isotropic with scattering angle at all incident energies. The agreement between the 3P→3P direct integral excitation cross section (ICS) and the experimental 8446 ¿ emission cross section of Zipf, adjusted to remove cascade, is good over the entire energy range studied. The agreement with some, but not all, previous theoretical calculations for both transitions is satisfactory. The worst disagreement, roughly a factor of 2, is at the lowest incident energy, 13.87 eV, where the experimental results suggest that the ICS has begun to decrease toward threshold while the theoretical calculations show a continued increase. The ratio of the ICS for the 3P→3P to the 3P→5P transition varies from >6 at energies >30 eV to 22 at 13.87 eV. These ratios, which correspond directly to the 8446 ¿/7774 ¿ emission line ratio in the thermosphere, allow conclusions to be drawn about the exciting electron energy distribution from the emission intensity ratio. ¿ American Geophysical Union 1988