  We study the weak radiative decays of ${\bf B}_b \to {\bf B}_n \gamma$ with
${\bf B}_{b(n)} $ the anti-triplet-bottom (octet) baryons in the light front
quark model. We obtain that ${\cal B}(\Lambda_b \to \Lambda \gamma)= (7.1 \pm
0.3 )\times 10 ^{-6}$, which agrees well with the current experimental value of
$(7.1 \pm 1.7 )\times 10 ^{-6}$. We predict that ${\cal B}(\Xi_b^0 \to \Xi^0
\gamma)= (1.0 \pm 0.1 )\times 10 ^{-5}$ and ${\cal B}(\Xi_b^- \to \Xi^- \gamma)
= (1.1 \pm 0.1) \times 10^{-5}$, which are consistent with the latest upper
limits set by the LHCb collaboration. In addition, we find that the $SU(3)_F$
flavor symmetry breaking effects for the modes related to the $b\to d \gamma$
transition can be as large as $20\%$.
