  We consider the Higgs boson production at high energy hadron colliders in the
framework of the k_T-factorization approach. The attention is focused on the
dominant gluon-gluon fusion subprocess. We calculate the total cross section
and transverse momentum distributions of the inclusive Higgs production using
unintegrated gluon distributions in a proton obtained from the full CCFM
evolution equation. We show that k_T-factorization gives a possibility to
investigate the associated Higgs boson and jets production. We calculate the
transverse momentum distributions and study the Higgs-jet and jet-jet azimuthal
correlations in the Higgs + one or two jet production processes. We demonstrate
the importance of the higher-order corrections within the k_T-factorization
approach. These corrections should be developed and taken into account in the
future applications.
