To provide a bush of a low cost, having a simple integral structure, improved in its durability by controlling the relative displacement by more than a set value regardless of the presence or absence of an intermediate cylinder, and spending only small material and construction costs.

This bush 1 is provided with an inner cylinder 2, the intermediate cylinder 10 and an outer cylinder 3 which are concentrically mounted, and rubber members are respectively mounted between the inner cylinder 2 and the intermediate cylinder 10, and between the intermediate cylinder 10 and the outer cylinder 3 by mounting inner spatial parts 11, 12 and outer spatial parts 13, 14 at both end sides of these cylinders. An outer peripheral face of the inner cylinder 1 and an outer peripheral face of the intermediate cylinder 10 positioned at the inner spatial parts 11, 12 and the outer spatial parts 13, 14 are respectively provided with two projections 7, 15 for controlling the relative displacement of the inner cylinder 2 and the outer cylinder 3. When the power is applied from the inner cylinder 2 and the outer cylinder 3, and the relative displacement of more than the set value occurs, they are brought into contact with the projections 7, 15, whereby the relative displacement is controlled and the durability is improved. The relative displacement of more than the set value can be controlled regardless of the presence or absence of the intermediate cylinder, although the very simple integral structure is applied, and the bush 1 is provided with the directionality as its characteristic.