Emission Mössbauer spectra of 61Cu(61Ni) in dielectric metal oxides of divalent copper Ca1−xSrxCuO2, Ca2CuO2Cl2, Sr2CuO2Cl2, YBa2Cu3O7−x, La2−xSrxCuO4 and Nd2−xCexCuO4 correspond to the combined quadrupole and Zeeman interaction of 61Ni nuclei with local fields at the sites of copper. For the superconducting metal oxides, on the other hand, spectra correspond to the interaction of the quadrupole moment of 61Ni nuclei with the electric field gradient. The both groups of metal oxides show linear dependences of the quadrupole interaction constants on the calculated values of the principal components of the lattice electric field gradient tensor at the copper sites for 61Ni nuclei (emission 61Cu(61Ni) Mössbauer spectroscopy data) as well as for 63Cu nuclei (63Cu nuclear magnetic resonance data). This fact is explained by invariable values of the valence component of electric field gradient for both 61Ni2+ and 63Cu2+ probes in all divalent copper metal oxides under investigation.