Abstract: A control device of a hybrid vehicle is configured to control an engine and a motor such that a battery is charged or discharged and the hybrid vehicle travels on drive power. The control device is configured to execute discharge-oriented control when a temperature of a purification catalyst is higher than or equal to a predetermined temperature. In the discharge-oriented control, the engine and the motor are controlled such that a charging and discharging electric power of the battery increases toward a discharging side when the temperature of the purification catalyst is higher than or equal to the predetermined temperature as compared to when the temperature of the purification catalyst is lower than the predetermined temperature. The predetermined temperature is lower than a degradation promoting lower limit temperature. Stated differently, engine output is reduced to avoid damaging the catalyst.