A control apparatus, which is configured to control a hybrid vehicle, is provided with: a device configured to determine whether or not there is a response delay of the supercharger; a device configured to control torque of the rotary electric machine to compensate for an insufficiency of torque of a drive shaft if there is the response delay when an output limit value of the battery is greater than or equal to a predetermined value; a device configured to estimate a NOx storage amount in the NOx storage/reduction catalyst; and a device configured to control an air-fuel ratio of the internal combustion engine to be rich if the NOx storage amount is greater than or equal to a predetermined value, or if there is the response delay when the output limit value of the battery is less than the predetermined value.