1) Halter part 
A noseband is the part of a horse`s bridle that encircles the nose and jaw of the horse. In English riding, where the noseband is separately attached to its own headstall or crownpiece, held independently of the bit, it is often called a cavesson or caveson noseband. In other styles of riding, a simple noseband is sometimes attached directly to t....
• (n.) That part of the headstall of a bridle which passes over a horse`s nose. • (n.) That part of the headstall of a bridle which passes over a horse`s nose.
(from the article `horsemanship`) The noseband, a strap of the bridle that encircles the horse`s nose, may be either a cavesson, with a headpiece and rings for attaching a long ...
Nose'band` noun That part of the headstall of a bridle which passes over a horse's nose. 
that part of a bridle or halter that passes over the animal's nose. See illus. under