A device includes a support defining at least one opening for retaining an implant situated in the vicinity of the distal end thereof, and at least one threadlike link for retaining the implant. The link includes a control portion engaged in the support and a tightening loop of the implant which projects outside the support through the retention opening. A component is provided for placing each tightening loop around the implant. The placement component includes a rigid member and at least one flexible cord integral with the member and engaged releasably around the tightening loop.