A swingarm suspension system for a vehicle for reducing weight by reducing a load on a link mechanism and reducing a space in the vicinity of the center of the vehicle. A swingarm is attached to a vehicle body side pivot shaft with a shock absorber having a lower end attached to a lower part of the swingarm. A first link is attached to an upper end of the shock absorber and an upper part of the swingarm and a second link is attached to part of the vehicle body side lower down relative to the pivot shaft and the first link. An angle R formed by a first axis, constituting a swing radius of the first link, and a second axis, running along a tension direction of the second link, is set so as to pass through 90.degree. while the shock absorber extends between maximum extension compression positions.