A cinch is a piece of horse tack used with western saddles to hold the saddle to the horse. Saddle cinches may be made of leather, nylon, neoprene, felt, aplaca or blended mohair. Buckles are typically stainless steel or nickle plated.
With English saddles this is known as a girth and is typically leather.
Equestrian tack saddle cinches from Weaver, Professionals Choice, Martin Saddlery, Classic Equine, Triple E and Cashel.