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