The dependence on less abundant fossil fuel as an energy resource causes serious environmental issues, which may, in turn, affect humans as well as other living organisms. Hydrogen possessing a high calorific value (~282 kJ mol−1) and properties such as zero pollutant emission is recognized globally as an alternative to fossil fuels. However, practical and effective storage and transportation are significant challenges to be addressed for their practical application. Recently, catalysis for hydrogen generation from solid chemical hydrogen storage sources has drawn much attention among researchers as it offers excellent safety, great convenience, and superior efficiency and can be suitable for large-scale practical applications. Noble metals as well as non-noble metals with and without supports have been explored as hydrogen generation catalysts. Among several supports, metal–organic frameworks (MOFs) have been known for having high surface area, large pore size, and the space constraint effect of MOFs, ensuring the uniform dispersion of metal nanoparticles. The present chapter describes the synthesis and properties of noble and non-noble metal catalysts encapsulated/supported on different MOFs. This chapter predominantly covers the literature from 2017 onwards which are focused on the efficiency of the catalysts for hydrogen generation from chemical hydrogen storage sources such as ammonia borane, sodium borohydride, and hydrazine borane.