  The possibility of description available experimental data for total cross
section for reaction of the neutron capture on 10B at energies from 25.3 meV to
1.0 MeV was considered in the frame of the modified potential cluster model
with forbidden states, classification of the orbital cluster states according
to Young diagrams and taking into account the resonance behavior of phase
shifts of the n10B elastic scattering. The obtained results agree with the
experimental measurements. The calculated total cross sections are used for
obtaining the reaction rate of the neutron capture on 10B at the temperature
range from 0.01 to 10 T9. The reaction rate rises essentially at temperatures
above 0.3 - 0.4 T9, conditioned by the resonances at the energy above 100 keV.
