Аннотация:We propose a new analytical expression for the transverse-momentum-dependent (TMD, or unintegrated) gluon density in the proton. Essential phenomenological parameters are extracted from the LHC data on inclusive hadron production in collisions at low transverse momenta pt < 1 GeV. The latter are described in the framework of a modified soft quark-gluon string model, where the gluonic state and nonzero transverse momentum of partons inside the proton are taken into account. To determine the parameters important at moderate and large x, we use the measurements of inclusive b-jet and Higgs boson production at the LHC as well as the latest HERA data on proton structure functions F2c(x,Q2) and F2b(x,Q2)and reduced cross sections sigma_c(x,Q2) and sigma_b(x,Q2). The Catani-Ciafaloni-Fiorani-Marchesini evolution equation is applied to extend the initial gluon distribution to the whole kinematical region. We achieve a simultaneous description of all considered processes with chi2/d.o.f. = 2.2, thus moving toward the global fit of the TMD gluon density from collider data. The obtained TMD gluon distribution in a proton is available for public usage and implemented in the tmdlib package and Monte Carlo event generator pegasus.