In the past decade, there has been great progress in the preparation and catalytic applications of graphenesupported metal complexes/oxide catalysts. Graphene-based materials have attracted tremendous research interest owing to special physicochemical properties, for example, unique two-dimensional structure, high theoretical specific surface area, high electrical conductivity,a nd outstanding acid-base resistance properties. Graphene-supported metal complexes/ oxides have been extensively investigated, and exhibit good catalytic activity and stability in water splitting (H 2 generation or oxygen evolution), oxidation/epoxidation of alkenes, CÀCb ond formation,a nd so forth. Herein,r ecent develop-mentsi ng raphene-supported metal complexes/oxides for the catalytic epoxidation of different alkenes are summarized. Site isolation and synergistici nteractions between metal complexes/oxides and graphene are the two key roles for enhancing the catalytic activity,w hereas the hydrophobicity of the support can efficiently improve epoxide selectivity.I na ddition, the possible mechanismso fc atalytic epoxidationa re summarized. This review provides af easible schemef or the potentiala pplication of graphene-based materials and guidance for the rational design of heterogeneous catalysts for catalytic applications.