  We investigate the inclusive Higgs boson production in proton-proton
collisions at high energies in the framework of kt-factorization QCD approach.
The attention is focused on the dominant off-shell gluon-gluon fusion
subprocess, where the transverse momentum of incoming gluons are taken into
account. The transverse momentum dependent (or unintegrated) gluon densities of
the proton are determined using the CCFM evolution equation as well as the
Kimber-Martin-Ryskin prescription. We study the theoretical uncertainties of
our calculations and perform the comparison with the results of traditional
pQCD evaluations. Our predictions agree well with the first experimental data
taken by the ATLAS collaboration at the LHC. We argue that further studies of
the Higgs boson production are capable of constraining the unintegrated gluon
densities of the proton.
