  We develop a non-perturbative analysis of the electro-production of heavy
vector mesons ($\phi$, $J/\Psi$) from threshold to high energy. We use the
holographic construction with bulk confinement enforced through a soft wall.
Using Witten diagrams, we evaluate the pertinent cross sections for heavy
vector mesons ($\phi$, $J/\Psi$) production and study their dependence on both
the incoming virtual photon polarization as well as the outgoing polarization
of the heavy meson. Our results for $J/\Psi$ electro-production compares well
with the available HERA data at low and intermediate $Q^2$, and for a wide
range of momentum transfer. We also predict the quasi-real electro-production
of $J/\Psi$ near threshold.
