We investigate the Ne-31 and Ne-32 neutron-rich nuclei by using the Generator Coordinate Method. The wave functions are defined by a Ne-30 + n and Ne-30 + n + n cluster structure, respectively. The binding energies of both systems are studied with different parameters of the nucleon-nucleon interaction, and are shown to be similar Assuming the particle stability of Ne-32, the Ne-31 nucleus is therefore predicted to be stable with respect to neutron decay. Spectroscopic properties (r.m.s. radii and E2 transition probabilities) are presented for both nuclei. (C) 1999 Elsevier Science B.V. All rights reserved.