Interactions of neutrons with zinc have been studied by measuring gainma-ray-production cross sections. For a sample of natural zinc, spectra were obtained for incident-mean-neutron energies, En = 4.9, 5.4, and 5.9 MeV with gamma-ray detector systems utilizing coaxial Ge(Li) detectors. Nearly monoenergetic neutrons were obtained from the D(d, n) reaction using deuterons obtained from the (pulsed) Oak Ridge National Laboratory 5-MV Van de Graaff accelerator. Time-of-flight was used to discriminate against pulses due to neutrons and background radiation. Gamma-ray identification was aided by obtaining spectra for samples enriched in the isotopes 64Zn and 68Zn, and new information on the level structure of 64Zn is reported. These cross sections have been compared, where possible, with previous comparable measurements with generally satisfactory results.