The Monte Carlo method in its grand ensemble variant (GCMC) is used in order to study the hydrogen adsorption (77 K) characteristics of novel carbon structures, namely Carbon Cones (CCs). CCs are conical shaped curved graphitic sheets, with five different apex angles. CC structures with correct bonding topology were developed via atomistic-molecular simulations, while GCMC simulations of hydrogen adsorption were carried out on the five different apex angle structures. Emphasis has been given on the adsorption properties inside the cones and it was found that cone tips are characterized by enhanced adsorbability. The results were also compared with similar calculations on carbon nanotubes. (C) 2010 Elsevier B.V. All rights reserved.