  The magnetic moments of the baryon decuplet are calculated in a relativistic
constituent quark model using the light-front formalism. Of particular interest
are the magnetic moments of the $\Omega^-$ and $\Delta^{++}$ for which new
recent experimental measurements are available. Our calculation for the
magnetic moment ratio $\mu(\Delta^{++})/\mu(p)$ is in excellent agreement with
the experimental ratio, while our ratio $\mu(\Omega^-)/\mu(\Lambda^0)$ is
slightly higher than the experimental ratio.
