An apparatus for supplying a deflection power for use in a display and a control method thereof. The apparatus includes a high voltage outputting portion having a first coil connected to a rectifier and a second coil, coupled with the first coil, which outputs an induced voltage, a first switch installed between the rectifier and the first coil, for controlling a power supply, a second switch installed on a path formed from the first switch, the first coil, and the rectifier, for controlling the power supply, and a deflection electric current generator connected in parallel with the second switch, the deflection electric current generator having a series-connected deflection coil and capacitor.