  The coupling constants g$_{\rho\eta\gamma}$ and g$_{\omega\eta\gamma}$ are
calculated using QCD sum rules method by studying the three point
${\rho\eta\gamma}$ and ${\omega\eta\gamma}$ correlation functions. A comparison
of the results with the values of the coupling constants that are deduced from
the experimentally measured decay widths of $\rho\to \eta\gamma$ and $\omega\to
\eta\gamma$ decays is performed.
