The hinge structure of a console box including a brake shaft and a braking device, arranged in a place displaced in the axial direction of a hinge shaft and disposed on one side of the hinge shaft. When opening and closing a lid, the drive shaft and the hinge shaft rotate in conjunction with the rotation of the lid, while a friction plate between the brake shaft and a braking plate is pressed against the rotating end face and the stationary brake plate, which is secured to a storage box, and a predetermined friction force can be produced continuously. Due to the friction force, the lid can be rotated under the influence of a moderate extent of rotational resistance when opening and closing the lid, and the position of the lid can be kept in the place where the lid stopped rotating within a rotatable range of the lid.