Measurements of differential cross sections are presented for the production of a Z boson and at least one hadronic jet in proton-proton collisions at √s=7 TeV, recorded by the CMS detector, using a data sample corresponding to an integrated luminosity of 4.9 fb−1. The jet multiplicity distribution is measured for up to six jets. The differential cross sections are measured as a function of jet transverse momentum and pseudorapidity for the four highest transverse momentum jets. The distribution of the scalar sum of jet transverse momenta is also measured as a function of the jet multiplicity. The measurements are compared with theoretical predictions at leading and next-to-leading order in perturbative QCD. Cuts: First two leading electrons or muons with pT>20 GeV and |η|<2.4 Dilepton invariant mass in the [71,111] GeV range Jets pT>30 GeV and |η|<2.4 ΔR(lepton,jet)>0.5