A control apparatus for a vehicle having an idle stop function includes a measurement unit that measures the characteristic of a battery provided in the vehicle, an identification unit that identifies the type of the battery based on the measured characteristic, and a control unit that stops the idle stop function in a case where the identified type of the battery indicates that the battery is not for an idle-stop vehicle, and permits execution of the idle stop function in a case where the execution of the idle stop function is permitted by an input of a predetermined signal from an external terminal even when the identified type of the battery indicates that the battery is not for the idle-stop vehicle.