We theoretically predict that the discharging gravimetric storage capacity of hydrogen in a diamond-shaped bundle of single-walled carbon nanotubes (SWNTs) with optimized parameters reaches 2.5 wt% at temperature T = 300 K and pressure p = 12.1 MPa, where the discharge pressure is set to 0. 1 MPa. The external surfaces of SWNTs under the optimized parameters play an important role on hydrogen storage. It leads to an improvement of around four times in hydrogen uptake, compared to that without optimized parameters. Indeed, the exohedral capacity caused by the external surface is twofold larger than the endohedral capacity. Moreover, we find that gravimetric and volumetric capacities of hydrogen in the diamond-shaped bundle of SAINTs at T = 105 K and p = 13.2 MPa achieve 7.4 wt% and 62.2 kg/m(3), respectively. Both of them exceed the targets of 6.5 wt% and 62 kg/m(3), issued by department of energy (DOE, USA) for hydrogen fuel cell powered vehicles. (c) 2006 International Association for Hydrogen Energy. Published by Elsevier Ltd. All rights reserved.