A reefing apparatus for controlling inflation of a gliding wing parachute which has a generally rectangular or trapezoidal canopy with four outer corners. The reefing mechanism includes a primary reefing loop with four supplemental reefing loops movably secured thereto by loops and connected through mounting rings to the four corners of the canopy to retain it in a general cloverleaf shape during initial stages of deployment and responsive to cutting of the primary reefing loop for release thereof for allowing full deployment or deployment into another reefed stage of the gliding wing canopy. The suspension lines are divided into four groups primarily defined by the corner closest to the point of attachment between the suspension line and the canopy.