  In this paper we study the $H + \gamma$ ($H = J/\Psi$ and $\Upsilon$)
production in coherent hadron - hadron interactions at LHC energies.
Considering the ultrarelativistic protons as a source of photons, we estimate
the $\gamma + p \rightarrow H + \gamma + X$ cross section using the
non-relativistic QCD (NRQCD) factorization formalism and considering different
sets of values for the matrix elements. Our results for the total $ p + p
\rightarrow p + H + \gamma + X$ cross sections and rapidity distributions at
$\sqrt{s} = 7$ and 14 TeV demonstrate that the experimental analysis of the
$J/\Psi + \gamma$ production at LHC is feasible.
