  We present our study of the differential cross section for the Higgs boson
production in $k_T$-factorization framework. The $k_T$-factorization formalism
includes a convolution over unintegrated parton distribution functions (uPDF)
and off-shell parton level matrix element. The off-shell matrix element
calculated considering initial gluons to be off-shell. We have considered only
gluon fusion process which is dominant production mechanism for the Higgs boson
production at LHC. We have used Ciafaloni-Catani-Fiorani-Marchesini (CCFM) uPDF
based on CCFM evolution equations. We have compared our results with fixed
order estimates up to NNLO+NNLL obtained using HRes tool within collinear
factorization framework as well as with the ATLAS and CMS measurements of the
corresponding differential distributions. This study will play an important
role in understanding differential cross section within $k_T$-factorization
framework.
