A driving apparatus and a driving method of a backlight module are provided. The backlight module includes multiple LEDs. The driving apparatus includes at least one thermal sensor, an optical sensor, and a processor. The thermal sensor is for detecting a working temperature of the LEDs. The optical sensor is for detecting brightness and color of the backlight module after a calibration function is enabled, to obtain difference values of the detected brightness and color with respect to predetermined brightness and color. The processor is for providing at least one initial thermal compensation table, to determine working currents of the LEDs associated with the working temperature. The processor further is for calibrating a content of the initial thermal compensation table corresponding with a current working temperature of the LEDs and storing the calibrated thermal compensation table as the initial thermal compensation table after the calibration function is enabled.