The differential cross sections for elastic scattering of 14-Mev neutrons from nitrogen and oxygen were measured in the angular range from 17 to 140 deg, using liquid targets and annular ring geometry. Inelastic scattering to the 2.31 and 3.95-Mev levels in N14 and to the levels near 6 and 7 Mev in O16 was investigated over a more restricted angular range. The 2.31-Mev level in N14 was not excited appreciably, in disagreement with previously reported results. For both elements, the elastic scattering cross sections (determined to an accuracy of 10%) were found to be appreciably higher than the optical model predictions by Rjorklund and Fernbach for scatterirg angles larger than 70 deg . The inelastic cross sections measured are, within experimental accuracy, the same as the corresponding (p, p') cross sections. (auth).