  We study the inclusive hadroproduction of D^0, D^+, D^star+, and D_s^+ mesons
at leading order in the parton Reggeization approach endowed with universal
fragmentation functions fitted to $e^+e^-$ annihilation data from CERN LEP1. We
have described $D$-meson transverse momentum distributions measured in the
central region of rapidity by the CDF Collaboration at Tevatron (|y|<1) and
ALICE Collaboration at LHC (|y|<0.5) within uncertainties and without free
parameters, using Kimber-Martin-Ryskin unintegrated gluon distribution function
in a proton. The forward D-meson production (|y|>2.0) measured by the LHCb
Collaboration also has been studied and expected disagreement between our
theoretical predictions and data has been obtained.
