  We reexamine the $\omega \to \pi^{0} \pi^{0} \gamma $ decay, adding the
effect of $\omega-\rho$ mixing to the amplitude calculated with the aid of
chiral perturbation theory and vector meson dominance. We predict the neutral
decay to occur with a width of $\Gamma($\omega \to \pi^{0} \pi^{0} \gamma $)
=(390\pm96) {\rm eV}$ and also analyze the effect of the $\omega-\rho$ mixing
on the $\Gamma($\omega \to \pi^{0} \pi^{0} \gamma $)/ \Gamma($\omega \to
\pi^{+} \pi^{-} \gamma $)$ ratio. Several remarks on the effect of
$\omega-\rho$ mixing on certain radiative decays of vector mesons are
presented.
