Multireference, configuration interaction potential energy surfaces (PES's) are reported for the interaction of Ar with the AlH radical in its ground (X 1Σ+) and first singlet excited (A 1Π) electronic states. To assist in the assignment of the van der Waals bend-stretch vibrational quantum numbers in the accompanying experimental spectroscopic study of the ArAlH complex [E. Hwang and P. J. Dagdigian, J. Chem. Phys. 102, 2426 (1995)], slightly modified versions of these PES's have been employed to calculate the vibrational energy levels of the ArAlH(X,A) van der Waals complex, both within the adiabatic bender model and in full variational calculations. Additionally, the band strengths for electronic transitions out of the ground and first vibrationally excited level of ArAlH(X) have been calculated for comparison with the relative band intensities measured by Hwang and Dagdigian. © 1995 American Institute of Physics.