  The ALICE collaboration has studied the inclusive J/$\psi$ and
$\psi(\mathrm{2S})$ production in p-Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV
at the CERN LHC. The J/$\psi$ measurement is performed in the $\mu^{+}\mu^{-}$
( - 4.46 < $y_{cms}$ < - 2.96 and 2.03 < $y_{cms}$ < 3.53 ) and in the
$e^{+}e^{-}$ ( - 1.37 < $y_{cms}$ < 0.46 ) decay channels, down to zero
transverse momentum. The results are in fair agreement with theoretical
predictions based on nuclear shadowing, as well as with models including, in
addition, a contribution from partonic energy loss. Finally, the
$\psi(\mathrm{2S})$ measurement in the $\mu^{+}\mu^{-}$ decay channel has been
performed. In particular, a significantly smaller $\psi(\mathrm{2S})$ nuclear
modification factor, with respect to the J$/\psi$ one, has been observed.
