Differential cross sections for neutrons scattered elastically from 6Li and 7Li have been measured at 14 incident neutron energies between 4 and 7.5 MeV. For 7Li, neutrons inelastically scattered from the 0.478 MeV-level were not resolved from the elastic group and have been included with the elastic group in calculating the cross sections. The present 6Li data are in good agreement with the ENDF/B-IV evaluation, while the present 7Li(n,n0 + n1) data are generally larger than the corresponding ENDF/B-IV evaluation particularly at forward angles.