  The dominant mechanism for the central exclusive production of vector meson
in $p p$ and $p \bar p$ collisions is the $\gamma$ $I P$ fusion. As a building
block for the pp reaction, the amplitude for photoproduction $ \gamma p \to V p
$ is calculated in a pQCD $k_{T}$- factorization approach. We will present
results for several vector mesons: $\rho$, $\omega$, $\phi$, $J/\Psi$ and
$\Upsilon$. The total cross section for diffractive mesons production as a
function of energy and photon virtuality is calculated. We will present
dependence on the mass of the quark for light mesons. The results for $ \gamma
p \to V p $ photoproduction depend on the model of the meson wave function. We
compare our results with a HERA data for photon-proton collisions. Finally we
turn to pp collisions, and we present distribution in rapidity, transverse
momentum of vector mesons and azimuthal angle between outgoing protons for
Tevatron and LHC energies. The absorption effects will be discussed.
