The differential cross sections for inclusive production of ({B}^{+}) hadrons are measured as a function of the ({B}^{+}) transverse momentum ({{p}_{T}}^{B}) and rapidity ({y}^{B}) 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}^{+}\to \text{J}/\psi {K}^{+}), with (\text{J}/\psi ) mesons that decay to a pair of muons. The results show a reasonable agreement with theoretical calculations within the uncertainties.