Our recent results on organic transformations such as C-C bond formation via the activation of stable C-C or C-H bonds and aerobic oxidation of alcohols catalyzed by CeO 2 -supported ruthenium are reviewed. A simple, recyclable heterogeneous Ru/CeO 2 catalyst showed excellent activity for sequential transfer-allylation/ isomerization of homoallyl alcohols with aldehydes to saturated ketones via the C-C bond activation. While homogeneous ruthenium and rhodium complex catalysts require additives and/or pressurized CO, the reaction with Ru/CeO 2 smoothly proceeded in the absence of any additives. The Ru/CeO 2 catalyst also showed excellent activity for the addition of sp 2 C-H bonds of aromatic ketones to vinylsilanes. The Ru/CeO 2 catalyst realized the chelationassisted arylation of stable aromatic C-H bonds with aryl chlorides. The activity of the catalyst was greatly improved by the PPh 3 -modification under hydrogen atmosphere prior to the reactions. The catalyst acts heterogeneously without a significant leaching of ruthenium species, indicating that the Ru/CeO 2 catalyst has an advantage over homogeneous catalysts from practical and environmental points of view. The effects of chemical and physical properties of CeO 2 on the activity of CeO 2 -supported noble metal catalysts were examined. Porous CeO 2 powders were prepared by the coagulation of solvothermally synthesized colloidal ceria nanoparticles, and the thus-prepared CeO 2 powders showed an oxygen migration ability far superior to the CeO 2 samples prepared by the usual precipitation method. The ruthenium catalysts supported on the former CeO 2 powders showed a high activity for the aerobic oxidation of benzyl alcohol. The effects of the pore structure of CeO 2 powders on the activity of the Ru/CeO 2 catalysts are also discussed.