Stopper structure of torque rod

[Objective] To provide a stopper structure of a torque rod having a good durability capable of reducing a relative displacement between a rigid inner member and an outer member, while maintaining a low dynamic spring constant from a low load range of idling to a high load range. [Solution] A second bush 28 of a torque rod 22 is fastened and fixed such that a mating fastening member 99 sandwiches an inner fitting 42 in the axial direction. A rubber stopper 68 on an acceleration side projecting from an outer fitting 40 to the inner fitting 42 is provided such that the rubber thickness increases toward a front end. The inner fitting 42 is provided with a stopper contact 76 forming a recessed space 74 in which the rubber stopper 68 is inserted. After the rubber stopper 68 comes in contact with the stopper contact 76 in a stopper function, the rubber stopper 68 is deformed so as to fill the recessed space 74, and concurrently bulges in the axial direction to come in contact with the mating fastening member 99.