A suspension structure comprising: lower front and rear links (12, 13) arranged to connect a wheel support member adapted to support a wheel and a vehicle body member swingably; an upper link located above the lower front link and arranged to connect the wheel support member and the vehicle body member swingably; and a connect bush (27, 28) arranged to connect the lower front link and the lower rear link with each other, the connect bush (27, 28) being located below a connection point between the lower front link and the wheel support member, wherein the connect bush (27, 28) includes: an inner cylinder which extends in an axial direction of the connect bush (27, 28), from a rear end to a front end located on a front side of the rear end of the inner cylinder in a front and rear direction and which is connected with one of the lower front and rear links (12, 13), an outer cylinder which includes an inside circumferential surface confronting an outside circumferential surface of the inner cylinder and which is connected with the other of the lower front and rear links (12, 13), and an elastic member interposed between the inner cylinder and the outer cylinder, the elastic member being so configured that a stiffness of the elastic member in a first perpendicular direction perpendicular to an axis of the connect bush (27, 28) is lower than a stiffness of the elastic member in a second perpendicular direction perpendicular to the axis of the connect bush (27, 28) and perpendicular to the first perpendicular direction, characterized in that the connect bush (27, 28) is disposed so that the second perpendicular direction of the connect bush (27, 28) is inclined with respect to a vehicle lateral direction by a predetermined angle (β) in a standard vehicle body posture. lower front and rear links (12, 13) arranged to connect a wheel support member adapted to support a wheel and a vehicle body member swingably; an upper link located above the lower front link and arranged to connect the wheel support member and the vehicle body member swingably; and a connect bush (27, 28) arranged to connect the lower front link and the lower rear link with each other, the connect bush (27, 28) being located below a connection point between the lower front link and the wheel support member, wherein the connect bush (27, 28) includes: an inner cylinder which extends in an axial direction of the connect bush (27, 28), from a rear end to a front end located on a front side of the rear end of the inner cylinder in a front and rear direction and which is connected with one of the lower front and rear links (12, 13), an outer cylinder which includes an inside circumferential surface confronting an outside circumferential surface of the inner cylinder and which is connected with the other of the lower front and rear links (12, 13), and an elastic member interposed between the inner cylinder and the outer cylinder, the elastic member being so configured that a stiffness of the elastic member in a first perpendicular direction perpendicular to an axis of the connect bush (27, 28) is lower than a stiffness of the elastic member in a second perpendicular direction perpendicular to the axis of the connect bush (27, 28) and perpendicular to the first perpendicular direction, characterized in that the connect bush (27, 28) is disposed so that the second perpendicular direction of the connect bush (27, 28) is inclined with respect to a vehicle lateral direction by a predetermined angle (β) in a standard vehicle body posture. an inner cylinder which extends in an axial direction of the connect bush (27, 28), from a rear end to a front end located on a front side of the rear end of the inner cylinder in a front and rear direction and which is connected with one of the lower front and rear links (12, 13), an outer cylinder which includes an inside circumferential surface confronting an outside circumferential surface of the inner cylinder and which is connected with the other of the lower front and rear links (12, 13), and an elastic member interposed between the inner cylinder and the outer cylinder, the elastic member being so configured that a stiffness of the elastic member in a first perpendicular direction perpendicular to an axis of the connect bush (27, 28) is lower than a stiffness of the elastic member in a second perpendicular direction perpendicular to the axis of the connect bush (27, 28) and perpendicular to the first perpendicular direction, characterized in that the connect bush (27, 28) is disposed so that the second perpendicular direction of the connect bush (27, 28) is inclined with respect to a vehicle lateral direction by a predetermined angle (β) in a standard vehicle body posture.