A headgear for securing and positioning a mask suitable for the treatment of sleep disordered breathing is constructed from a composite including polyurethane foam. It includes a back portion with upper and lower straps connected to the back portion. The straps have relatively narrow strap ends the lower straps are displaced downward with respect to the back portion. A quick release mechanism near the front of the face attaches the headgear to the mask. Additional components can be attached to the straps to alter their elasticity and stiffness.