This implant (12) for treating a valve is intended to be positioned in a blood flow passage, and includes:a proximal sleeve (14) comprising proximal arms (32), intended to bear on a first face of a leaflet (18) or on an annulus (17) of the valve, anda distal sleeve (16), intended to be assembled with the proximal sleeve (26) to form a tubular armature (24), and comprising distal arms (36) intended to bear on a second face of the valve leaflet (18) and/or the annulus (17).Each proximal arm (32) protrudes radially away from the proximal tubular body (30A) and defines a receiving space (18) for the leaflet (18), delimited by the proximal arm (32), with no participation of the tubular armature (24) when the proximal sleeve (26) and the distal sleeve (28) are assembled.
