To obtain chemical shifts in large molecular systems accurately with a low computational cost, we developed an octahedral point-charge model that mimics the electrostatic potential due to charge distributions. The point-charges in this model are defined to reproduce the multipole moments calculated using the revised distributed multipole analysis. The accuracy of charge representations was tested on formamide. The octahedral point-charge model was used in the fragment molecular orbital method and applied to NMR calculation of a beta-sheet polypeptide. The maximum errors relative to conventional ab initio NMR calculation were 0.13, 0.73, and 0.09 ppm for C-13, N-15, and H-1, respectively. (C) 2014 Elsevier B.V. All rights reserved.