A suspensory graft ligament fixation device is shown to be particularly suitable for maximizing the contact between a soft tissue graft and the bone tunnel prepared to receive the graft. The suspensory fixation device has an elongated anchor member adapted to be transversely situated at the exit of the bone tunnel. A loop member is suspended transversely from the anchor member and has a loop length which is adjustable. When a graft ligament is attached to the saddle end of the loop, the length of the loop member may be shortened to pull the graft member into the bone tunnel until it bottoms out at the floor of the bone tunnel.