The present invention relates to a device for driving LEDs and, more specifically, to an AC-direct drive-type LED driving device, capable of sequentially driving LEDs connected in series in reverse order by starting with an LED located at the end until a certain size of power is supplied, and sequentially driving the LEDs connected in series in order if the certain size of power is supplied, rather than measuring the size of a rectified power and sequentially driving the LEDs connected in series based on the measured size of the power; thereby equalizing the power consumption of all the LEDs connected in series to thereby equalize the life span of the LEDs regardless of the serial connection order of the LEDs and unifying the brightness of all the LEDs connected in series.