  The exclusive $\rho$, $\omega$ and $J/\Psi$ photoproduction in fixed - target
collisions at the LHC is investigated. We estimate, for the first time, the
rapidity and transverse momentum distributions of the vector meson
photoproduction in $p He$, $p Ar$, $Pb He$ and $Pb Ar$ fixed - target
collisions at the LHC using the STARlight Monte Carlo and present our results
for the total cross sections. Predictions for the kinematical range probed by
the LHCb detector are also presented. Our results indicate that the
experimental analysis of this process in fixed - target collisions at the LHC
is feasible. Such future analysis will probe the QCD dynamics in a kinematical
range complementary to that studied in the collider mode.
