Exploring　composite　materials　with　ideal　structures　is　an　effective　way　to　achieve　synergy　among　different　functional　components.　In　this　paper,　a　thermal　decomposition　method　was　adopted　to　prepared　IrO2-CeO2　graphene/Ti　composite　electrodes.　The　influence　of　adding　graphene　on　the　composite　material＇s　electronic　structure　was　analyzed　by　first-principles　calculations,　and　its　microstructure　and　electrochemical　performance　were　also　observed　though　various　tests.　The　results　indicated　that　coatings　containing　graphene　exhibited　a　hierarchical　porous　structure,　which　could　enlarge　the　specific　surface　area　effectively.　The　band　gaps　of　the　IrO2-CeO2　composite　oxides　were　filled　by　the　energy　level　of　C,　which　reduced　the　electron-transfer　resistance.　With　amorphous　CeO2　and　the　graphene　acting　as　highly　efficient　ion-diffusion　and　electron-transfer　channels　respectively,　the　electrodes＇　charge　storage　performances　were　improved.　The　electrodes＇　specific　capacitance　values　rose　at　first,　then　decreased　as　the　graphene　contents　increased,　reaching　a　maximum　of　368　F　g(-1)　when　the　content　was　2　mg　mL(-1).　However,　adding　graphene　could　harm　the　electrodes＇　cycling　stability;　excessive　graphene　could　also　encapsulate　IrO2　nanoparticle　and　hinder　contact　with　the　electrolyte,　thus　reducing　the　electrodes＇　specific　capacitances.