A hardware fastening structure for fastening hardware of a computer includes a housing, a brace, a number of sliding bars. The housing includes a bottom plate and an attaching structure formed on the bottom plate. The brace is mounted on the bottom plate via the attaching structure of the housing. The sliding bars are respectively mounted on opposite sides of the hardware to fix the hardware on the brace, wherein the brace forms fixing structures corresponding to the sliding bars and the sliding bars being operable to slide in the brace, and engage and disengage with the brace via the fixing structures.