Abstract The transition to a sustainable hydrogen economy demands safe, efficient, and compact hydrogen storage solutions. Conventional storage methods like high-pressure tanks and liquid hydrogen come with drawbacks, including significant energy consumption and high resource costs. Solid-state hydrogen storage materials — such as metal hydrides, complex hydrides, and emerging nanostructured materials — have gained increasing attention due to their high volumetric density, safety at ambient conditions, and compatibility with renewable energy sources. Recent advances in materials science and computational modeling have enabled the development of tailored storage systems with enhanced kinetics, thermodynamics, and cyclic stability. This work comprises a comprehensive review and critical analysis of current breakthroughs in solid-state hydrogen storage. We highlight key developments in Ti-Fe-based intermetallics, magnesium-based systems, metal-organic frameworks (MOFs), and carbon nanocomposites, with emphasis on their hydrogen sorption behavior, reversibility, and operating conditions. In addition, we discuss the role of catalysts, doping strategies, as well as using first-principles density functional theory (DFT) modeling in optimizing storage performance. In 2024, Kazakhstan approved the Concept for the Development of Hydrogen Energy until 2030. The article also examines the potential use of specific materials within Kazakhstan's hydrogen sector, emphasizing the nation's abundant mineral resources and well-developed industrial base. By utilizing these assets, Kazakhstan has the opportunity to significantly advance hydrogen storage technologies and support global decarbonization initiatives. The current state of the art and future potential of solid-state hydrogen storage materials are thoroughly highlighted in this review, with a focus on their importance and possible influence on Kazakhstan's energy landscape.