  In nuclear physics, triton and helium-3 nucleus can be understood as
three-body hadronic molecules. Analogous to the loosely bound structures for
the triton and helium-3 nucleus, whether there is a bound state formed by three
hadrons leaves us an open issue. Based on the one-boson exchange model as well
as the adoption of the variational approach, we make a comprehensive
investigation on the tritonlike systems of three identical baryons $NNN$,
$\Lambda\Lambda\Lambda$, $\Xi\Xi\Xi$ and $\Sigma\Sigma\Sigma$. We predict that
the three-body molecular states for the systems of three identical hadrons of
baryon octet are probably existent as long as their two-body subsystems have
bound states. The numerical results of this work may be helpful for the
theoretical and experimental researches on the tri-hadron molecules in future.
