X- and Q-band electron paramagnetic resonance studies have been carried out on a polycrystalline superconductor YBa1.9Na0.1Cu3O7- delta (Y-Ba-Na-Cu-O) over the temperature range 4.2-300 K. It is concluded that the monovalent Na+ ions substitute for Ba2+ ions, and not for Cu2+ ions. The onset of the superconducting transition is determined to occur at 91 K, while the absorption of microwaves in low magnetic fields begins to occur below 100 K. The value of the upper critical field estimated here, as well as that of the specific heat coefficient are lower than those reported for the pure YBa2Cu3O7- delta ceramic. The local symmetry about the Cu2+ ion in the phase of the sample with increased oxygen vacancy content, responsible for the Cu2+ EPR signal, is deduced to be orthorhombic over the entire range of temperature investigated, as revealed by the Cu2+ principal values (gz, gx and gy), which are, in turn, used to estimate the energy-level sequence for the Cu2+ ion. The covalency effect due to Cu-O bonding is found to be significant. The hyperfined splitting constant mod Az mod , as estimated from the weak hyperfine structure at low magnetic fields, is estimated to be 8 mT at 4.2 K. The sample exhibits magnetic memory in the superconducting state.