A controller for the hybrid vehicle compensates for a shortage of an engine output to a vehicle demand output by discharge electric power of a battery when the vehicle demand output is higher than an upper limit output of a target operating range, and charges the battery by an excess of the engine output to the vehicle demand output when the vehicle demand output is lower than a lower limit output of the target operating range. The target operating range is set to a low load side as a SOC of the battery is higher in a predetermined SOC range. Also, the controller controls an intake air temperature during stopping of the engine to a target intake air temperature when the hybrid vehicle is traveling with the engine stopped. The target intake air temperature is increased as the SOC is lower in the predetermined SOC range.