In this article, we discuss possible options for hydrogen‐storage systems. We begin by pointing out the tremendous advantages of hydrogen as an alternative fuel, but we also discuss the problems associated with it. We then move to the general constraints for hydrogen storage in automotive applications, followed by the targets that the US Department of Energy has established for the performance of hydrogen‐storage systems in order to be on track for a future hydrogen economy and to be competitive with the current technology of fossil fuel‐based combustion engines. We then move to the central topic of this book article—the three main categories of hydrogen‐storage systems, distinguished by their mechanism of storing hydrogen: mechanical storage, adsorption‐based storage, and chemical storage, with an emphasis on the latter two. Within these categories, we break the materials further into subgroups, pointing out strengths and weaknesses of each in reference to the US Department of Energy targets. We finally conclude with an outlook into the near‐term future.