  ALICE measures the J/psi production at mid-rapidity (|y| < 0.9) in the
di-electron decay channel as well as at forward rapidity (2.5 < y < 4.0) in the
di-muon decay channel. In both channels the acceptance goes down to zero
transverse momentum. We present the rapidity dependence of the inclusive J/psi
production cross-section and transverse momentum spectra.
