  We calculate the cross section of J/psi inclusive production in
lepton-nucleon deep-inelastic scattering via the weak charged current within
the factorization formalism of nonrelativistic quantum chromodynamics. The
hadronic system produced in association with the J/psi meson can be of
light-quark origin or contain charm. We take into account both direct
production and feed-down from directly-produced heavier charmonia. We provide
the cross sections of all contributing partonic subprocesses in analytic form.
We present theoretical predictions for the J/psi transverse-momentum and
rapidity distributions, which can be measured in current neutrino-nucleon
scattering experiments at CERN and Fermilab, and possibly at the future
electron-proton collider THERA at DESY. We find the cross section to be at the
edge of observability at DESY HERA.
