An induction heating cooking apparatus and a control method thereof are provided. A vessel can be effectively heated by using a plurality of heating coils regardless of a position of the vessel. By connecting a plurality of heating coils to a smaller amount of inverters through relays, only a heating coil on which a vessel is placed, among the plurality of heating coils, can be heated. Also, by connecting the heating coils in series, a current flowing in the heating coil can be lowered, and thus, a rated current of the inverter can be lowered. Also, by connecting relays and heating coils such that a larger amount of heating coils are operated, while minimizing the amount of inverters, manufacturing cost can be reduced, operation efficiency can be increased, and stability of the cooking apparatus can be enhanced.