  In the ALICE experiment, at forward rapidity (2.5 < y < 4), the production of
heavy quarkonium states is measured via their mu+ mu- decay channels. We
present the first measurement of inclusive J/Psi production, down to pT = 0,
from Pb-Pb data collected at the LHC at sqrt(s_NN) = 2.76 TeV. Preliminary
results on the nuclear modification factor (R_AA) and the central to peripheral
nuclear modification factor (R_CP) show J/Psi suppression with no significant
centrality dependence and an integrated R_AA(0-80%) = 0.49 \pm 0.03(stat.) \pm
0.11(syst.).
