  We present a nonperturbative QCD calculation of diffractive vector meson
production in virtual photon nucleon scattering at high energy. We use the
nonperturbative model of the stochastic QCD vacuum which yields linear
confinement and makes specific predictions for the dependence of high-energy
scattering cross sections on the hadron size. Using light cone wave functions
of the photon and vector mesons, we calculate electroproduction cross sections
for $\rho$, $\omega$, $\phi$ and $J/\psi$. We emphasize the behavior of
specific observables such as the ratio of longitudinal to transverse production
cross section and the t-dependence of the differential cross section.
