Cross sections for the production of gamma rays with energies of 0.3 < Eγ < 10.5 MeV have been measured as a function of neutron energy over the range 0.1 < En < 20.0 MeV. Results were obtained for 22 elements that are commonly encountered in the calculation of radiation effects. The measurements were made using a heavily shielded Nal detector in conjunction with the white neutron spectrum from the Oak Ridge Electron Linear Accelerator. Incident neutron energies were determined by time-of-flight over a 47-m flight path, while gamma-ray energy distributions were obtained from pulse-height unfolding techniques. Elemental differential cross sections are presented for Li, C, N, F, Mg, Al, Si, Ca, V, Cr, Fe, Ni, Cu, Zn, Nb, Mo, Ag, Sn, Ta, W, Au, and Pb.