This invention provides for an apparatus and a method for operation of a cryogenic hydrogen storage system that contains a porous medium configured to adsorb hydrogen. The hydrogen storage and supply system includes a hydrogen source apparatus, a cryosorptive storage apparatus, and a fuel recycle loop. Methods and devices that allow for an energy efficient release of hydrogen from the cryosorptive apparatus are described. At the outset of a fuel release, the cryosorptive hydrogen storage apparatus contains cold, pressurized hydrogen. Release of hydrogen from the storage apparatus is a process that consumes heat, thereby drawing down both the temperature and pressure. Heat can be provided to the cryosorptive storage apparatus by various direct approaches, or through the influx of warm, recycled hydrogen. The hydrogen storage and release apparatus contains a recycle loop, which warms a portion of the effluxing hydrogen, and returns it to the storage apparatus, thereby maintaining pressure and temperature conditions that support continued hydrogen desorption from the storage medium.