Hydrogen storage and production via electrochemistry using advanced amorphous metal catalysts with enhanced performance, cost, and durability may offer dynamic and intermittent power generation opportunities. As a new sub-class of materials, Pd-based metallic-glasses (MGs) have drawn intense attention because of their grain-free, randomly packed atomic structure with intrinsic chemical heterogeneity, bestowing unique physical, structural, and chemical properties for energy applications. Wee first give a general introduction to Pd and Pd-based MGs, including the fabrication techniques of MGs and their hydrogen applications. We then cover hydrogen sorption of Pd-based MGs examined under ribbons, nanowires/microrods, and thin-films subsections. Hydrogen evolution via Pd-based MGs is then analyzed under the bulk rod, ribbons, and thin-films subsections and hydrogenation kinetics and sensing, pseudocapacitance, and electron transfer kinetics subsections are discussed. Finally, a broad summary of Pd-based metallic glasses and future prospects. Altogether, this review provides a thorough and inspirational overview of hydrogen sorption and evolution of Pd-based MGs targeted for future large-scale hydrogen energy storage and production systems.