The present invention relates to a storage unit for gases, in particular a sorptive storage, with the storage unit comprising a sorbent for the reversible uptake of the gases to be stored and the sorbent being based on discrete sorptive particles. The sorptive particles are embedded in a solid gas-permeable three-dimensional support having a foam structure and/or are fixed thereto. The storage unit is particularly suitable for the storage of combustible or fossil gases, e.g. hydrogen, natural gas and the like, and thus as gas storage unit in power stations and motor vehicles.