Multiple hard-ellipsoid model is a theoretical model which can more accurately decribe collisions between He atom and Na2 molecule. In this paper, we adopted the multiple hard-ellipsoid model to calculate the integral cross sections of rotational excitation for collisions in 3He,4He,7He,10He-Na2 systems at different relative incidence energies. This study shows that we can improve the accuracy of the results by increasing the number of equipotential ellipsoid surfaces. Moreover, we find that the integral cross sections of rotational excitation change with the relative incidence energy and reduced mass of the system. Finally, at relative incidence energy of 100 meV, we investigate the influence of different regions of the intermolecular potential on integral cross sections of rotational excitation in 4He-Na2 collisions.