This review covers H-H bond cleavage of dihydrogen (H2) mediated by structurally well-defined rare-earth metal (scandium, yttrium and lanthanides) complexes, and their applications in homogenous catalysis, such as catalytic hydrogenation of unsaturated organic molecules. Depending on the mecha-nism of the H-H bond cleavage, this review is organized in two parts: (1)σ-bond metathesis, and (2) non-σ-metathesis H2 activation. The latter is a new trend in this research field and is the emphasis of this review. Converting H2 into inorganic rare-earth polyhydride complexes, albeit their potential applica-tions as hydrogen-storage materiel, is not in the scope of this review.