For the first time, the elastic, inelastic and total differential cross sections for collision between He atom and the ground state of BH molecule have been calculated by using accepted exact close-coupling approximation method. The calculation is performed at the incident energies from 25 to 150 meV. Further, the change tendency and characteristics of the differential cross sections have been discussed. The calculated results show that the total differential cross section is the general rule and characteristics of collision between an atom and a diatomic molecule, the phenomenon of the scattering oscillation at large angles is more evident along with increase of the incident energy for low-lying rotational excitation state-to-state differential cross sections in He-BH collision system.