The "stole," a decorated strip of material several inches wide and seven to nine feet long, is a distinctive badge of the priest's office. Donning his holy vestments before a ceremony, the priest kisses the middle of the stole and then puts it around the back of his neck, with the two ends hanging down his chest.

JH 2011

A priest's stole in Marian blue. Source: catholicliturgicals.com.