Preliminary results of neutron quasi-elastic scattering experiments are reported for hydrated paracrystals of sodium deoxyribonucleic acid (NaDNA). The samples were investigated at two water contents: 3.5 +/- 1.0 and 9.5 +/- 1.5 mol H2O per mole nucleotide. The results of the scattering experiments were almost independent of whether the NaDNA fibers were oriented parallel or perpendicular to the momentum transfer. The data indicate that at the lower hydration the water molecules do not diffuse appreciably on the time scale of the neutron measurements (approximately 3 X 10(-10) s). At the higher hydration the water molecules diffuse isotropically in a sphere of 9 A in diameter with a diffusion coefficient of (5 +/- 2) X 10(-6) cm2 s-1.