  In this paper we analyse the double vector meson production in photon --
hadron ($\gamma h$) interactions at $pp/pA/AA$ collisions and present
predictions for the $\rho\rho$, $J/\Psi J/\Psi$ and $\rho J/\Psi$ production
considering the double scattering mechanism. We estimate the total cross
sections and rapidity distributions at LHC energies and compare our results
with the predictions for the double vector meson production in $\gamma \gamma$
interactions at hadronic colliders. We present predictions for the different
rapidity ranges probed by the ALICE, ATLAS, CMS and LHCb Collaborations. Our
results demonstrate that the $\rho\rho$ and $J/\Psi J/\Psi$ production in
$PbPb$ collisions is dominated by the double scattering mechanism, while the
two - photon mechanism dominates in $pp$ collisions. Moreover, our results
indicate that the analysis of the $\rho J/\Psi$ production at LHC can be useful
to constrain the double scattering mechanism.

High Energy Physics - Phenomenology;High Energy Physics - Experiment;Nuclear Experiment;Nuclear Theory