Exclusive photoproduction of all vector mesons by real and virtual photons is considered in the soft dipole Pomeron model. It is emphasized that, the Pomeron in this model being a double Regge pole with an intercept equal to 1, we are led to rising cross sections but the unitarity bounds are not violated. It is shown that all available data for $\ensuremath{\rho},\ensuremath{\omega},\ensuremath{\varphi},J/\ensuremath{\psi},$ and $\ensuremath{\Upsilon}$ in the region of energies $1.7<~W<~250\mathrm{GeV}$ and photon virtualities $0<~{Q}^{2}<~35{\mathrm{GeV}}^{2},$ including the differential cross sections in the region of transfer momenta $0<~|t|<~1.6{\mathrm{GeV}}^{2},$ are well described by the model.