An LED driving apparatus is provided. The apparatus includes an LED Portion 10, a charging/discharging capacitor 111, a capacitor charging and discharging paths, and a capacitor charging constant current portion 110. The LED driving portion 3 controls a current in the LED portion 10. The capacitor 111 is connected in parallel to the LED portion 10. The charging and discharging paths are connected to the capacitor whereby charging and discharging the capacitor, respectively. The constant current portion 110 is connected on the charging path and controls a charging current so that the capacitor is charged at a constant current. When rectified voltage applied to the LED portion becomes high, the capacitor is charged with the charging current through the charging path. When the voltage becomes low, the capacitor is discharged at a discharging current through the discharging path so that the discharging current is applied to the LED portion.