Headgear for mounting a headlight on a surgeon's head includes a headband and a stabilizer. The headband encircles the wearer's head and the stabilizer is connectable to a rear section of the headband for engaging and cradling a substantial portion of at least a lower back region of a wearer's head when the headgear is worn by the wearer. The stabilizer includes a peripheral extending portion extending beneath the headband on opposite sides of the wearer's head corresponding to a location of a lower portion of an occipital bone of the wearer's head and a peripheral portion extending above the headband on opposite sides of the wearer's head corresponding to a location of a top of the occipital bone. The headgear can also include a connection element for removably connecting the stabilizer to the headband so that the headgear can be worn with or without the stabilizer.