The excited state, spin-free, and spin–orbit interatomic potential energy surfaces of Rb + He which correlate with the Rb atomic terms 52S, 52P, 42D, 62S, 62P, 52D, and 72S, are calculated at multi-reference configuration interaction level of theory using all-electron basis sets of triple and quadruple-zeta quality that have been contracted for Douglas–Kroll–Hess (DKH) Hamiltonian and includes core-valence correlation. Important features of the potential energy surfaces are discussed with implications for alkali laser spectroscopy.