Abstract A DWBA treatment of the heavy-ion neutron transfer reaction is given which is suitable for energies below the Coulomb barrier where the transition amplitude may be evaluated with reasonable accuracy. Consideration is given of the post-prior paradox, virtual Coulomb excitation and of effects associated with antisymmetrization. The 14N( 14N, 13N) 15N reaction is taken as an example and calculations are made of angular distributions and total cross section for several energies. The results are very similar to those obtained using the tunnelling theory of Breit et al. Good agreement is also obtained with the experimental data of Hiebert, Couch and McIntyre, which thus points further to the feasibility of estimations of single-particle neutron reduced widths, based on the study of heavy-ion reactions.