  Charmonium states are considered important signatures of the strongly
interacting medium created in heavy-ion collisions. In the ALICE experiment,
these probes can be investigated in the mu^+mu^- decay channel, in the forward
rapidity region (2.5<y<4) down to zero transverse momentum. Results on
charmonia production in Pb-Pb collisions at sqrt(s_NN)=2.76 TeV are presented.
The centrality and transverse momentum dependence of the inclusive J/Psi
nuclear modification factor are shown and compared with theoretical models.
Finally, first ALICE results on the Psi(2S) production in Pb-Pb collisions are
also discussed.
