  We present calculations of the decuplet baryon magnetic moments in the chiral
quark model. As input we use parameters obtained in qualitatively accurate fits
to the octet baryon magnetic moments studied previously. The values found for
the magnetic moments of $\Delta^{++}$ and $\Omega^{-}$ are in good agreement
with experiments. We finally calculate the total quark spin polarizations of
the decuplet baryons and find that they are considerably smaller than what is
expected from the non-relativistic quark model.
