A tie comprising a strap (1) having two end parts (1A, 1B) providedwith a female part and a male part, respectively, of a fixing system, ischaracterized in that the female part of the fixing system is an opening (2)in thestrap which is bordered by a cleavable area (2A-2C) of the strap. This tie canbeused to create an identification ring for an animal, the diameter of whichring canbe increased without removing the ring from the animal.