  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
$\mu^{+}\mu^{-}$ and in the $e^{+}e^{-}$ decay channels, down to zero
$p_{\mathrm{T}}$. The results are in fair agreement with theoretical
predictions. The $\psi(\mathrm{2S})$ measurement has also been performed. In
particular, a smaller $\psi(\mathrm{2S})$ nuclear modification factor, with
respect to the J$/\psi$ one, has been observed.
