  By using a Regge-pole model for vector meson production (VMP), successfully
describing the HERA data, we analyse the correlation between VMP cross sections
in photon-induced reactions at HERA and those in ultra-peripheral collisions at
the Large Hadron Collider (LHC). Predictions for future experiments on
production of $J/\psi$ and $\psi(2S)$ are presented.
