The present invention relates to an attachment collar for elongate elements, the collar comprising a belt portion suitable for being fastened on a support, the belt portion being open and defining an inside space suitable for receiving the elongate element. In order to close the belt portion and thus retain the elongate elements in the inside space, the collar firstly an array of gripping elements made of plastics material injected integrally with the belt portion and situated on its outside face, and secondly a tape secured to the belt portion via one of its ends, the inside face of the tape presenting retention means suitable for co-operating with the gripping elements of the belt portion in order to secure the tape and the belt portion together, the belt portion presenting stiffness that is greater than the stiffness of the tape.