To provide a fitting structure of a damper for a glove box capable of changing a damper to meet the change of the weight even when the weight of the glove box is changed, and the opening speed is ensured.

The fitting structure of the damper for the glove box for fitting the damper to a panel member 2 by attaching a fore end of a string-like body 13 to be drawn out of the damper 1 to the glove box 3, comprises a plurality of bosses 21 for fitting the damper erected on a wall surface of the panel member 2, and a plurality of receiving ribs 22 forming a recess 22a in its upper portion and erected on the wall surface. A cylinder 10 of the damper 1 is stored in the recess 22a of the receiving rib to fit the damper to the box 21. On the other hand, a hinge part 25 is provided on a base edge of the receiving rib, and a receiving part 26 forming a recess 26a different from the recess 22a on a wall part of the panel member 2 extending via the hinge part is formed while being surrounded by slits. The receiving part is turned and erected with the hinge part 25 being a supporting point, a cylinder of the diameter different from that of the cylinder 10 is stored in the recess, and the damper 1 is fitted to the boss 21.