A bandage dispenser has a mounting strip onto which are mounted a plurality of partially overlapping bandages. Each bandage is individually wrapped, and the wrapper has a bifurcated opening, with one half of the bifurcated opening bonded to the mounting strip and the second half of the bifurcated opening folded away from the mounting strip to facilitate manual grasping. A person operatively one-handedly grasps the second half of the bifurcated opening, pulls away from the mounting strip to release the sterile bandage, and then may release the bifurcated opening and grasp the sterile bandage. Once the bandage has been applied, a person will finish tearing the bandage wrapper from the mounting strip, revealing the next bandage wrapper bifurcated opening.