  QCD sum rules for the magnetic moments of $\Delta^{++}$ and $\Omega^-$ are
derived using the external field method. They are analyzed by a Monte-Carlo
based procedure, using realistic estimates of the QCD input parameters. The
results are consistent with the measured values, despite relatively large
errors that can be attributed mostly to the poorly-known vacuum susceptibility
$\chi$. It is shown that a 30% level accuracy can be achieved in the derived
sum rules, provided the QCD input parameters are improved to the 10% level.
