It is shown that the formation of the brittle phase in hydrogenated metal under external loading is a first-order phase transition. The basic equation of the evolution of elastic stress in a uniform and isotropic hydrogenated metal during the formation of a brittle hydride phase is derived and its solution is found. Based on this data, the time dependences of all characteristics of the phase transition into a brittle phase are found; namely, the densities of nuclei of the hydride phase, the size distribution, and the formation rates of the hydride phase nuclei are found. The characteristic time of the transition into the brittle phase is found.