  We propose a model for description of the process of Nuclear Excitation by
Electron Transition (NEET) near the $K$-shell ionization threshold of an atom.
We explain the experimental results for the $^{197}$Au cross section excitation
$\sigma_{N^*}$ obtained by S.Kishimoto et al. Phys. Rev. C {\bf 74}, 031301(R)
(2006) using synchrotron radiation near the Au $K$-edge. We predict the
behavior of $\sigma_{N^*}$ as a function of the incident photon energy for
nuclei $^{193}$Ir and $^{189}$Os. We reveal that the $^{189}$Os excitation
begins when the energy of incident photons is below the $K$-shell ionization
threshold in Os.
