A mounting apparatus is provided for a data storage device. The mounting apparatus includes a mounting bracket receiving the data storage device, and a number of vibration absorbing members attached to opposite sides of the data storage device. Two sliding slots are respectively defined in opposite sidewalls of the mounting bracket. Each of the vibration absorbing members includes a fastener engaged with a corresponding side of the data storage device, a supporter slidably received in a corresponding sliding slot of the mounting bracket, and a damping body sandwiched between the fastener and the supporter.