An engine ECU diagnoses the presence or absence of abnormality during execution of the fuel cut. The engine ECU is configured to restrict the fuel cut according to the temperature of a catalyst when the temperature is higher than a fuel-cut-restriction temperature of the catalyst. The engine ECU is configured to set the fuel-cut-restriction temperature is lower when the diagnosis has been completed than when the diagnosis has not been completed. Furthermore, the engine ECU continues the fuel cut if the diagnosis is completed during execution of the fuel cut while the temperature of the catalyst is between the fuel-cut-restriction temperature set prior to the completion of the diagnosis and the fuel-cut-restriction temperature set after the completion of the diagnosis.