The vibrational and electronic predissociation of the NeI₂(E ) complexes has been studied for the first time using two-step laser excitation of the complexes formed in a supersonic molecular beam. The I₂(E → D → X β1_g → A1_u, γ1_u → a1_g and δ2_u → 2_g(aa)) luminescence have been observed, and luminescence spectra of these transitions have been measured. We have determined binding energies of the NeI₂(E, v _E = 0-6, n _E) complexes, vibrational populations of the E, D, and β states as well as branching ratios of the vibrational and electronic predissociation channels. It has been shown that binding energies of the RgI₂(E, v _E = 0, n _E = 0) vdW complexes, Rg = He-Kr, are directly proportional to the Rg polarizabilities. PESs for NeI₂(B, E) complexes have been constructed in a diatomics-in-molecule model. These surfaces describe adequately excitation spectra of the luminescence observed. The NeI₂(E, v _E, n _E) complex electronic predissociation is described in the framework of the energy gap model.