  Muons from the decay of charmonium resonances are detected in the ALICE
Experiment at the Large Hadron Collider(LHC) for pp and Pb-Pb collisions with a
muon spectrometer, covering the forward rapidity region 2.5$<$ $y$ $<$4.0.
Analysis of the nuclear modification factor ($R_{\rm AA}$) at forward rapidity
are presented and compared with mid-rapidity results from electrons in the
central barrel covering $|y|<$0.9. The roles of suppression and regeneration
mechanisms are discussed, as well as the importance of the results of the
forthcoming p-Pb data taking for the estimate of cold nuclear matter effects on
quarkonia. Perspectives for the bottomonia measurements are also given.
Quarkonia results via muon channel from CMS experiment at LHC are compared with
ALICE quarkonia measurements.
