The development of safe and efficient methods of hydrogen storage is a prerequisite for the use of hydrogen with fuel cells for transport applications. In this paper, results available for adsorption of hydrogen on porous materials, ranging from activated carbons to metal organic framework materials, are discussed. The results indicate that up to ∼5 and ∼7.5wt% of hydrogen can be stored on porous carbon and metal organic framework materials, respectively, at 77K. The amounts of hydrogen adsorbed on porous materials at ambient temperatures and high pressures are much lower (≲0.5wt%). The strong temperature dependence of hydrogen physisorption on porous materials is a limitation in the application of this method for hydrogen storage in addition to storage capacity requirements.