  Recombination of the primordial helium plasma (HeII->HeI, $z \simeq 1500 -
3000$) is considered. This process has an effect on the CMBR anisotropy and
CMBR spectrum distortion. In this work an influence of neutral hydrogen on
kinetics of HeII->HeI recombination is investigated in the frame of the
standard cosmological model. It is shown that small amount of neutral hydrogen
($10^{-5} - 10^{-2}$ of total number of hydrogen ions and atoms) leads to
acceleration of HeII->HeI recombination at $z\lesssim 2000$ and at $z\lesssim
1600$ quasi-equilibrium HeII->HeI recombination (according to the Saha formula)
becomes valid.
