A composite cooking apparatus having a body, a heating unit, an induction heating unit, and an insulating plate. The heating unit is positioned in the body to generate heat used to heat food. The induction heating unit is positioned adjacent to the heating unit to generate a magnetic field to cook the food by induction heating. The insulating plate is positioned between the heating unit and the induction heating unit to prevent heat generated from the heating unit from being transmitted to the induction heating unit. Further, the insulating plate is provided with at least one heat reflecting layer to reflect the heat generated from the heating unit.