Gamma-ray production cross sections were measured for (n,xγ) reactions in natural copper from 0.68- to 19.6-MeV neutron energy using the IRT Linac pulsed neutron source and a Ge(Li) detection system measuring gamma rays in the energy range from 365 to 6620 keV. Cross sections for 65 gamma rays are given using 17 neutron energy groups. For an additional 21 discrete gamma rays of uncertain origin, cross sections were determined for 11 neutron energy groups. The gamma-ray spectra for 16 neutron energy groups were also unfolded to obtain gamma-ray production cross sections for the sum of both discrete and continuum gamma rays. The cross sections are in general agreement with previous work for both the discrete peaks and the unfolded spectra, except near 15 MeV. Measurements of the discrete lines provide needed experimental data for the neutron energy region from 3 to 20 MeV.