  We describe a calculation of the two-photon decays of heavy vector-mesons,
$B^*\to B\gamma\gamma$ and $D^*\to D\gamma\gamma$, by using the ``heavy meson
chiral Lagrangian''. The decay amplitudes are expressed in terms of the strong
coupling $g$ of the Lagrangian at various powers and the strength of the
anomalous magnetic dipole $\mu_{B^*B\gamma}$ (respectively $\mu_{D^*D}\gamma$).
In the charm case we are able to express the branching ratio $\Gamma(D^{*0}\to
D^0\gamma\gamma)/\Gamma(D^{*0})$ as a function of $g$ only and we expect it to
be in the $10^{-6}-10^{-5}$ range, depending on the value of $g$. The
determination of $\mu_{B^{*0}B^{0}\gamma},\mu_{B^{*+}B^+}\gamma$ requires a
more involved analysis, including the consideration of bremsstrahlung radiation
for the $B^{*+}\to B^+\gamma\gamma$ case.
