  Exclusive photoproduction of all vector mesons by real and virtual photons is
considered in the Soft Dipole Pomeron model. It is emphasized that being the
Pomeron in this model a double Regge pole with intercept equal to one, we are
led to rising cross-sections but the unitarity bounds are not violated. It is
shown that all available data for $\rho, \omega, \phi, J/\psi $ and $\Upsilon $
in the region of energies 1.7 $\leq W \leq $ 250 GeV and photon virtualities 0
$\leq Q^2 \leq $ 35 GeV$^2$, including the differential cross-sections in the
region of transfer momenta 0 $\leq |t| \leq$ 1.6 GeV$^2$, are well described by
the model.
