An analytic expression of the potential energy surface (PES) of the ground state of the Ne-HBr complex has been obtained by utilizing nonlinear least square method to fit the intermolecular interaction energies, which have been calculated at the coupled cluster singles and doubles including the connected triple excitation level and with the augmented correlation consistent polarized quadruple zeta basis set (CCSD (T)/aug-cc-pVQZ). On the basis of the above result, the partial cross sections (PCS) at the energies of 40, 60, 80 and 100meV for collisions between Ne atoms and HBr molecules have been calculated by using the quantum close-coupling method. Then the influence of the long-range attractive and the short-range anisotropic interaction of the CCSD (T) potential energy surface on the inelastic PCS has been discussed in detail. The results show: (1) The transitions of j=0 →j′=1, 2 contribute to the total inelastic PCS predominantly. The long-range attractive well of the PES results in the tail maximum of the inelastic PCS at the position of the higher J, which mainly comes from the transition of j=0 →j′=1. While the short-range repulsion results in the main peak at the position of the lower J, which mainly comes from the transition of j=0 →j′=2. The balance between the short-range repulsive and long-range attractive interaction results in a pronounced minimum in the inelastic PCS. (2) There is the same collision parameter corresponding to the maximums and minimums of the inelastic PCS at different incident energies although the corresponding quantum number J of total angular momentum is different. The collision parameter samples the same part of the PES.