To provide a damper mounting structure which can turn a damper so that unreasonable force is not applied to the damper and can regulate a turn amount around a vertical shaft orthogonal to the direction in which an oscillation control device protrudes.

A damper mounting structure in which a control part is provided in such a way that it protrudes from a side face is provided with a connection pin 20 and a bearing 26. The connection pin 20 is supported on a bracket fixed on a vehicle body frame and has a spherical support part 21 provided with a substantially spherical slide face 21a. The bearing 26 is provided in a connection part 22 provided on a mounting part side of a damper and has a slide face 26a in slide-contact with the slide face 21a. Moreover, a projection part 28 which regulates a turn amount around a vertical shaft orthogonal to the direction in which the control part protrudes is provided on an outer peripheral face of the connection part 22. The projection part 28 is extended in the axial direction on the outer peripheral face of the connection part 22 and is integrally molded so that it protrudes from both side faces of the connection part 22.