A data storage device assembly includes a rack, a mounting member, and a handle. The rack has a data storage device mounted therein. The mounting member is secured on the rack. The mounting member defines a receiving room. A clamp is slidably received in the receiving room. The clamp includes two spaced elastic claws. The handle is pivotally mounted on the mounting member. The handle includes a clasp. The handle is rotatable on the mounting member between a first position and a second position. In the first position, the clamp is located in the receiving room, the two spaced elastic claws are restricted by edges of the receiving room, and the clasp is fastened between the two elastic claws. In the second position, the clamp is located out of the receiving room, and the clasp is not fastened between the two elastic claws.