(of a bridle) one of two straps passing over the cheeks of the horse and connecting the crown piece with the bit or noseband.
Also called cheekpiece.
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web for cheek strap
He fastened the cheek-strap very carefully, and got all the pieces of harness on and buckled.At the Back of the North Wind|Elizabeth Lewis and George MacDonald