An independent suspension provided with a knuckle for rotatably supporting a wheel thereon and a sub-knuckle member pivotally supported on the knuckle, the knuckle connected to the leading terminal of a lower arm through a first ball joint and the basal terminal part of the lower arm is attached to an automobile body. The leading terminal of an upper arm is connected to the sub-knuckle member through a second ball joint and the basal terminal part of the upper arm is attached to the automobile body side. The leading terminal of a control link attached to the automobile body side is connected to the knuckle member through a third ball joint. The axis which passes the centers of the first ball joint and the second ball joint constitutes itself a steering axis. The center of the third ball joint is offset relative to the point of intersection between the horizontal plane passing the third ball joint and the steering axis. As a result, the knuckle members are allowed to produce a swinging motion around the second ball joint as the center to change the camber angle of the wheel while the automobile body is being steered.