An induction heating apparatus may include first/second working coils, first/second inverter circuits, and a controller. When a user changes a required power value of a first working coil or a second working coil to a third required power value, a controller determines a third driving frequency corresponding to the third required power value. The controller calculates a difference value between a driving frequency of the working coil, the required power value of which is not changed, and the third driving frequency, and compares the calculated difference value with a first reference range. When the calculated difference value is included in the first reference range, the controller changes an operation mode of a first inverter circuit from a full bridge mode to a frequency doubler mode, and changes an output power value of the working coil, the required power value of which is changed to the third required power value.