A cooking apparatus includes a coil configured to generate a magnetic field, a driver including a first switch and a second switch and configured to change a direction of the current, a current detector configured to detect the current of the coil, a controller configured to increase a duty cycle of the first switch during a reference time when an operation start signal is transmitted thereto, control operations of the first switch and the second switch on the basis of an operating frequency when the reference time elapses, check zero cross points of currents detected while the first switch and the second switch are operated, compare a time point of the checked zero cross point to a starting time point of an turn-on operation of the first switch to determine a material of the vessel, and block the applied current when the vessel is determined to be a non-heatable vessel.