This review covers H–H bond cleavage of dihydrogen (H2) mediated by structurally well-defined rare-earth metal (scandium, yttrium and lanthanides) complexes, their applications in homogenous catalysis, such as catalytic hydrogenation unsaturated organic molecules. Depending on the mechanism cleavage, this is organized two parts: (1) ?-bond metathesis, (2) non-?-metathesis H2 activation. The lat...