A control apparatus for a hybrid electric vehicle, includes: a temperature detector configured to detect a temperature of the battery; a temperature increase rate calculator configured to calculate, based on the detected temperature of the battery, a temperature increase rate that is an amount of increase in the temperature per unit time; and an engine controller configured to allow, when the temperature increase rate is equal to or higher than a threshold value, the engine to be started, so that the generator generates the electric power. The threshold value is set so that the higher the detected battery temperature, the lower the threshold value.