A tie comprising a strap (1) having two end portions (1A, 1B) respectively provided with a female portion and a male portion of a fastening system is characterized in that the female portion of the fastening system is an opening (2) in the strap that is bordered by a cleavable region (2A-2C) of the strap. Said tie can be used to create an animal identification band whose diameter can be increased without removing the band from the animal.