22 pages, 6 captioned pages, 1 table, authors from page 17, figures at http://aliceinfo.cern.ch/ArtSubmission/node/2944 ; see paper for full list of authors ; The inclusive J/$ψ$ production has been studied in Pn-Pb and pp collisions at the centre-of-mass energy per nucleon pair $\sqrt{s_{\rm NN}}=5.02$ TeV, using the ALICE detector at the CERN LHC. The J/$ψ$ meson is reconstructed, in the centre-of-mass rapidity interval $2.5