System for the recovery of a surface marine craft by a carrier ship, said system comprising: a) a lifting device intended to equip the carrier ship and which comprises: - a lifting means of the davit type, equipped with a lifting cable comprising at one end a connection interface, the lifting device also comprising: - a boat hook pole intended to extend laterally outside a hull of the carrier ship, above its waterline, a guide cable being suspended from said boat hook pole, - an anchor connected to a free end of said guide cable, said guide cable being dimensioned so that, when the anchor is suspended from the boat hook pole by the guide cable, in the absence of other constraints, the anchor is below the waterline of the carrier ship, the connection interface of the lifting cable being detachably connected to the anchor, and - a towing cable, intended to be connected on the one hand to the carrier ship forward of the boat hook pole, and connected on the other hand to the anchor, and the system further comprising: b) a receiving device suitable for cooperating with the lifting device and intended to equip the marine craft, the receiving device comprising: - a forward module, intended to equip the prow of the marine craft, comprising an opening configured to receive jointly the guide cable and the lifting cable, and to allow said guide cable and lifting cable freedom in translation in said opening, and comprising a receiving housing suitable for receiving a part of the anchor by which the anchor fastens to said forward module when said part is engaged in said housing, fastening of the anchor to the forward module leading to fastening of the connection interface of the lifting cable to a handle detachably connected to the forward module, and - a lifting support, intended to be fastened rigidly at at least one lifting point of the marine craft, said lifting support being shaped to receive and immobilize the handle. a) a lifting device intended to equip the carrier ship and which comprises: - a lifting means of the davit type, equipped with a lifting cable comprising at one end a connection interface, the lifting device also comprising: - a boat hook pole intended to extend laterally outside a hull of the carrier ship, above its waterline, a guide cable being suspended from said boat hook pole, - an anchor connected to a free end of said guide cable, said guide cable being dimensioned so that, when the anchor is suspended from the boat hook pole by the guide cable, in the absence of other constraints, the anchor is below the waterline of the carrier ship, the connection interface of the lifting cable being detachably connected to the anchor, and - a towing cable, intended to be connected on the one hand to the carrier ship forward of the boat hook pole, and connected on the other hand to the anchor, and the system further comprising: b) a receiving device suitable for cooperating with the lifting device and intended to equip the marine craft, the receiving device comprising: - a forward module, intended to equip the prow of the marine craft, comprising an opening configured to receive jointly the guide cable and the lifting cable, and to allow said guide cable and lifting cable freedom in translation in said opening, and comprising a receiving housing suitable for receiving a part of the anchor by which the anchor fastens to said forward module when said part is engaged in said housing, fastening of the anchor to the forward module leading to fastening of the connection interface of the lifting cable to a handle detachably connected to the forward module, and - a lifting support, intended to be fastened rigidly at at least one lifting point of the marine craft, said lifting support being shaped to receive and immobilize the handle. - a lifting means of the davit type, equipped with a lifting cable comprising at one end a connection interface, - a boat hook pole intended to extend laterally outside a hull of the carrier ship, above its waterline, a guide cable being suspended from said boat hook pole, - an anchor connected to a free end of said guide cable, said guide cable being dimensioned so that, when the anchor is suspended from the boat hook pole by the guide cable, in the absence of other constraints, the anchor is below the waterline of the carrier ship, the connection interface of the lifting cable being detachably connected to the anchor, and - a towing cable, intended to be connected on the one hand to the carrier ship forward of the boat hook pole, and connected on the other hand to the anchor, - a forward module, intended to equip the prow of the marine craft, comprising an opening configured to receive jointly the guide cable and the lifting cable, and to allow said guide cable and lifting cable freedom in translation in said opening, and comprising a receiving housing suitable for receiving a part of the anchor by which the anchor fastens to said forward module when said part is engaged in said housing, fastening of the anchor to the forward module leading to fastening of the connection interface of the lifting cable to a handle detachably connected to the forward module, and - a lifting support, intended to be fastened rigidly at at least one lifting point of the marine craft, said lifting support being shaped to receive and immobilize the handle.