Clathrate materials present a novel class of storage media for hydrogen. These unusual crystalline solids are comprised of a lattice of polyhedral cavities that can trap a range of different guest molecules, including hydrogen. We have successfully demonstrated that hydrogen molecules can occupy large cages of clathrate hydrates at higher pressures, covalently bonded silicon clathrate cages, and hydroquinone clathrates. Computer simulations have revealed the mechanisms of clathrate hydrate formation.