This paper reviews the most recent advances in the formulation of materials for H2 storage. A revision of the goals for such materials, with relevance to the transportation issues is given. The objectives are indeed stringent as for gravimetric and volumetric density, as well as for the stability to repeated loading cycles. The attention will be particularly focused on micro- and nanoporous sorbents, where a proper design of pore size is important to optimize capacity and the energetics of the sorbent/sorbate interaction. Furthermore, the same parameter, together with particle size is important to minimize mass transfer limitations and to improve diffusion kinetics. The latter may be increased also by functionalization, e.g. with metallic nanoparticles. Examples will be provided mainly pointing to carbon based materials, to novel inorganic compounds and to metal organic frameworks or coordination polymers. These different subjects will be considered from the points of view of the synthesis/functionalization, of their performance, predominantly under practically relevant conditions. Some references will be also given regarding theoretical issues, e.g. in the case of graphene-like materials. Finally the research issues to be rapidly solved to propose a convenient material to the fuel cells market will be addressed. Keywords: H2 storage materials, Metal-organic framework, Carbon nanotubes, Active carbon, H2 adsorption, Toxicity, Purity (H2 from storage system), Fullerenes