A glasses frame structure includes a chassis, a pair of temples, a pair of hinges, and a plurality of fasteners. The chassis has a pair of front rims and a pair of side rims respectivey next to the front rims. Each of the side rims of the chassis can receive a first side lens. Each temple has a rimmed portion adjacent to one of the side rims of the chassis. The rimmed portion of each of the temples can receive a second side lens. The hinges can pivotally connect the temples to the chassis. Some of the fasteners can fix the hinges and the first side lenses to the chassis, while some of the fasteners can fix the hinges and the second side lenses to the temples. With the glass frame structure, the side lenses can be installed more easily and firmly.