Installation and method for recovering an underwater vehicle or marine

Installation and methods for recovering and / or to a water craft (1) underwater or ocean, in particular an AUV, from a recovery base (5). The installation comprising a floating cage (10) defining a housing (16) within which at least a portion of said machine (1) can penetrate, the first puller means mounted on said cage and able to tow said craft within said housing, via a first flexible link, typically a cable (22) and second pulling means (7) intended to be mounted on the recovery base (5) and capable of pulling said cage via a second flexible connection (9, 70) distinct from the first.