  The possibility of beauty baryon polarization measurement by cascade decay
angular distribution analysis in the channel Lambda0 J/psi --> p pi- l+ l- is
demonstrated. The error analysis shows that in the proposed LHC experiment
ATLAS at the luminosity $10^{4} pb^{-1}$ the polarization can be measured with
the statistical precision better than $\delta=0.010$ for Lambda_b0 and
$\delta=0.17$ for Xi_b0.
