A mounting apparatus for a data storage device includes a bracket, a plurality of shock absorbers positioned between the data storage device and the bracket, a plurality of fasteners, and two elastic members. The bracket includes a bottom plate, and two sidewalls. Each of the plurality of shock absorbers includes a shock absorber pad, and a bushing protruding from an outer side of the shock absorber pad. The shock absorber pad defines a first through hole therein. Each of the plurality of fasteners includes a post and a head portion. The post is passed through the bushing, the first through hole of the shock absorber pad to engage one of a plurality of second mounting holes of the data storage device. Each of the two elastic members is fixed to the inner side of one of the two sidewalls of the bracket.