  We found the parameterization of the unintegrated gluon distribution from the
best description of the LHC data on the inclusive spectra of hadrons produced
in $pp$ collisions at the mid-rapidity region and small transverse momenta. It
is different from the one obtained within perturbative QCD only at low
intrinsic transverse momenta $k_t$. The application of this distribution to
analysis of the $e-p$ DIS allows us to get the results which do not contradict
the H1 and ZEUS data on the structure functions at low $x$. So, the connection
between the soft processes at LHC and low-$x$ physics at HERA is found.
