Catalytic bond activation pathways of diatomic molecules on small metal clusters have been studied by density functional theory calculations. The focus of this study is dissociation of NO, N2, and O2 on hexamers of eight transition metals (Ni, Cu, Rh, Pd, Ag, Ir, Pt, and Au). For all the 24 cases, the lowest energy structures at the molecular‐adsorption state, bond dissociation transition state (TS), and dissociative‐adsorption state were identified by a systematic procedure. At TS of 20 cases, the transition metal hexamer moiety took a different shape from bare transition metal hexamers. The results support the importance of metastable cluster structures in catalytic activity, recently proposed in several catalytic systems. Furthermore, using the obtained dataset, a simple linear regression analysis was made to explore the applicability of the Brønsted‐Evans‐Polanyi principle to flexible metal cluster catalysts.