  The CLEO experiment at the CESR collider has used 13.7 fb$^{-1}$ of data to
search for the production of the $\Omega_c^0$ (css-ground state) in
$e^{+}e^{-}$ collisions at $\sqrt{s} \simeq 10.6$ {\rm GeV}. The modes used to
study the $\Omega_c^0$ are $\Omega^- \pi^+$,
  $\Omega^- \pi^+ \pi^0$, $\Xi^- K^- pi^+ \pi^+$, $\Xi^0 K^- pi^+$, and
$\Omega^- \pi^+ \pi^- \pi^+$. We observe a signal of 40.4$\pm$9.0(stat) events
at a mass of 2694.6$\pm$2.6(stat)$\pm$1.9(syst) {\rm MeV/$c^2$}, for all modes
combined.
