Invariant spectra of η mesons production and nuclear modification factors of η и π0 mesons produced in binary collisions of uranium nuclei at energy of 192 GeV have been presented in the paper. This data was obtained using the PHENIX spectrometer of RHIC. These experimental results were analyzed and compared with similar data on binary collisions of gold nuclei at 200 GeV. The η и π0 mesons yields in central collisions of both uranium and gold nuclei (at energy values mentioned) were established to be suppressed equally. In the peripheral collisions, the nuclear modification factors of η и π0 mesons measured in the uranium nuclei collisions were suppressed more than those obtained in the gold ones. An analysis of a ratio of the η meson to π0 meson production spectra in the uranium nuclei collisions (at 192 GeV) revealed that the ratio was independent of the centrality class and the transverse momenta.