Abstract: In the present investigation the polycentral GTObasis set for ab initio LCAO-MO-SCFcalculation is given. The ab initio FORTRAN Ⅳ general program ABHFusing this basis set is written by us. The calculations of the energy, dipole moment, virial value, especially the Hell-mann-Feynman force obtained from this basis set are better than the ones obtained from the previous STO-GTObasis sets. This basis set is particularly appropriate for calculation of the polarized molecules. Tt provides a way of study of the chemistry by means of the force.