Measurements of fiducial integrated and differential cross sections for inclusive W + , W - and Z boson production are reported. They are based on 25.0±0.5pb-1 of pp collision data at s=5.02 TeV collected with the ATLAS detector at the CERN Large Hadron Collider. Electron and muon decay channels are analysed, and the combined W + , W - and Z integrated cross sections are found to be σW+=2266±9(stat)±29(syst)±43(lumi) pb, σW-=1401±7(stat)±18(syst)±27(lumi) pb, and σZ=374.5±3.4(stat)±3.6(syst)±7.0(lumi) pb, in good agreement with next-to-next-to-leading-order QCD cross-section calculations. These measurements serve as references for Pb+Pb interactions at the LHC at sNN=5.02 TeV. © 2019, CERN for the benefit of the ATLAS collaboration.