  The production of J/$\psi$ and $\psi(2S)$ was measured with the ALICE
detector in Pb-Pb collisions at the LHC. The measurement was performed at
forward rapidity ($2.5 < y < 4 $) down to zero transverse momentum ($p_{\rm
T}$) in the dimuon decay channel. Inclusive J/$\psi$ yields were extracted in
different centrality classes and the centrality dependence of the average
$p_{\rm T}$ is presented. The J/$\psi$ suppression, quantified with the nuclear
modification factor ($R_{\rm AA}$), was studied as a function of centrality,
transverse momentum and rapidity. Comparisons with similar measurements at
lower collision energy and theoretical models indicate that the J/$\psi$
production is the result of an interplay between color screening and
recombination mechanisms in a deconfined partonic medium, or at its
hadronization. Results on the $\psi(2S)$ suppression are provided via the ratio
of $\psi(2S)$ over J/$\psi$ measured in pp and Pb-Pb collisions.
