  We calculate the cross section of J/psi inclusive production in
neutrino-nucleon deep-inelastic scattering via the weak neutral current within
the factorization formalism of nonrelativistic quantum chromodynamics. Besides
J/psi single production via the Z-gluon fusion mechanism, we also consider
J/psi plus hadron-jet associated production. We take into account both direct
production and feed-down from directly-produced heavier charmonia. We present
theoretical predictions for the J/psi transverse-momentum and rapidity
distributions, which can be measured in the CHORUS and NOMAD experiments at
CERN, including conservative error estimates. In order to interpret a recent
CHORUS measurement of the total cross section, we also estimate the
contribution due to J/psi prompt production via diffractive processes using the
vector-meson dominance model.
