  The FOCUS experiment(FNAL-E831) has used two channels, $\Omega^- \pi^+$ and
$\Xi^-K^- \pi^+ \pi^+$,to measure the lifetime of the $\Omega_c^0$ charmed
baryon. From a sample of $64 \pm 14$ signal events at a mass of 2.698
GeV/$c^2$, we measure an $\Omega_c^0$ lifetime of $72 \pm 11$ (stat.) $\pm 11$
(sys.) fs, substantially improving upon the current world average.
