The differential cross sections for inclusive production of B+ hadrons are measured as a function of the B+ transverse momentum pTB and rapidity yB in pp collisions at a centre-of-mass energy of 13 TeV, using data collected by the CMS experiment that correspond to an integrated luminosity of 48.1 pb −1 . The measurement uses the exclusive decay channel B+→J/ψK+ , with J/ψ mesons that decay to a pair of muons. The results show a reasonable agreement with theoretical calculations within the uncertainties.