We study the inclusive hadroproduction of B0, B+ and [Formula: see text] mesons at leading order in the Parton Reggeization Approach using the universal fragmentation functions extracted from the combined e+e- annihilation data from CERN LEP1 and SLAC SLC colliders. We have described B-meson transverse momentum distributions measured in the central region of rapidity by the CDF Collaboration at Fermilab Tevatron and CMS Collaboration at LHC within uncertainties and without free parameters, applying Kimber–Martin–Ryskin unintegrated gluon distribution function in a proton. The forward B-meson production (2.0<y<4.5) measured by the LHCb Collaboration also has been studied and expected disagreement between our theoretical predictions and data has been obtained.