The dependence of the long-range interactions between molecular hydrogen and iodine monochloride on the geometry between the molecules is investigated. Laser-induced fluorescence and action spectroscopy experiments have identified multiple conformers of the 0,p-H-2 center dot center dot center dot(ICl)-Cl-35,37(X,v ''=0) van der Waals complexes. A conformer with the hydrogen molecule localized at the iodine end of the dihalogen, most likely with C-2v symmetry, is significantly more stable than an asymmetric conformer with the hydrogen localized in the well oriented orthogonally to the I-Cl bond axis, D-0 '' = 186.4(3) cm(-1) versus 82.8(3) <= D-0 '' <= 89.6(3) cm(-1). Complexes containing the (0)-H-2(j=1) species are more strongly bound than those with p-H-2(j=0). The electronically excited (0,)p-H-2 center dot center dot center dot(ICl)-Cl-35(A,v') and (0),p-H-2 center dot center dot center dot(ICl)-Cl-35,37(B,v') complexes are found to have preferred asymmetric structures with binding energies bracketed between 73.7-80.5 and 69.5-76.3 cm(-1) for (0)-H-2 center dot center dot center dot(ICl)-Cl-35(A,v'=23) (0)-H-2 center dot center dot center dot(ICl)-Cl-35(B,v'=3), respectively. Calculations of the H-2 center dot center dot center dot(ICl)-Cl-35(B,v'=3) intermolecular vibrational energies and probability amplitudes undertaken using a scaled He + ICl(B,v'=3) potential enable us to make tentative assignments of the excited-state levels experimentally accessed.