A method of controlling a hybrid automobile is provided. Only a drive force of the motor is outputted to wheels by stopping the engine while operating the motor when a required drive force is below a predetermined switch value, and at least a drive force of the engine is outputted to the wheels by operating at least the engine when the required drive force is above the switch value. The method includes estimating, when the required drive force is below the switch value, a switching possibility of the required drive force increasing above the switch value, operating the engine so that a temperature of a catalyst becomes a first temperature when the estimated switching possibility is above a predetermined level, and operating the engine so that the temperature of the catalyst becomes a second temperature lower than the first temperature when the estimated switching possibility is below the predetermined level.