The present invention is directed to a parachute reefing system having a flexible ring section. The flexible ring section has a circumference. The reefing system includes a plurality of equidistantly spaced loops attached to the flexible ring section and a plurality of link members wherein each link member is attached to a corresponding loop and sized to allow at least one suspension line to pass therethrough. The reefing system also has a cross-connecting section comprising pair of intersecting members that are attached to the flexible ring section. The intersecting members are attached to each other at an intersection point that is coincident with the center of flexible ring section. The reefing system has a position cord having a first end attached to the intersection point and a second end opposite the first end. A yoke is attached to the second end of the position cord and has a vertex and at least two legs that extend from the vertex. Each leg extends from the vertex to a distal end. A riser link is attached to the distal end of each leg.