Ship with a vertical draught system for the rescue of objects or vessels, characterised in that it comprises: - two compartmentalized hulls (1, 1'), one at each side of the ship, - four folding columns (2, 2', 3, 3'), two on each hull (1, 1'), one on the stern (2, 2') and the other on the prow (3, 3') of each hull, located on each hull (1, 1') with an upper compartment for housing pressurised air; - an upper superstructure attached to the ship, which comprises: ∘ two fixed length, longitudinal beams (13, 13') spanning from column to column and from stem to prow; ∘ two telescopic crossbeams (12, 12') spanning from column to column and from starboard to port; the ends of these beams (12, 12', 13, 13') being joined to the columns (2, 2', 3, 3') by means of a piece which wraps around each column consisting of vertical displacement elements along the length of the corresponding column; - a lower superstructure, located under the upper superstructure, comprising: ∘ two fixed length, longitudinal beams (15, 15') spanning from column to column and from stem to prow; ∘ four telescopic crossbeams (14, 14', 14", 14"') spanning from the prow to stern, starboard longitudinal beam, to the prow to stern, port longitudinal beam, ∘ an equipment for laterally hooking the object or vessel to be rescued, located on each lateral end and on the underside, facing the sea, of the telescopic crossbeams (14, 14', 14", 14"'); the ends of all the longitudinal beams (15,15') being joined to the columns (2, 2', 3. 3') by means of a piece which wraps around each column consisting of vertical displacement elements along the length of the corresponding column. - two compartmentalized hulls (1, 1'), one at each side of the ship, - four folding columns (2, 2', 3, 3'), two on each hull (1, 1'), one on the stern (2, 2') and the other on the prow (3, 3') of each hull, located on each hull (1, 1') with an upper compartment for housing pressurised air; - an upper superstructure attached to the ship, which comprises: ∘ two fixed length, longitudinal beams (13, 13') spanning from column to column and from stem to prow; ∘ two telescopic crossbeams (12, 12') spanning from column to column and from starboard to port; the ends of these beams (12, 12', 13, 13') being joined to the columns (2, 2', 3, 3') by means of a piece which wraps around each column consisting of vertical displacement elements along the length of the corresponding column; ∘ two fixed length, longitudinal beams (13, 13') spanning from column to column and from stem to prow; ∘ two telescopic crossbeams (12, 12') spanning from column to column and from starboard to port; - a lower superstructure, located under the upper superstructure, comprising: ∘ two fixed length, longitudinal beams (15, 15') spanning from column to column and from stem to prow; ∘ four telescopic crossbeams (14, 14', 14", 14"') spanning from the prow to stern, starboard longitudinal beam, to the prow to stern, port longitudinal beam, ∘ an equipment for laterally hooking the object or vessel to be rescued, located on each lateral end and on the underside, facing the sea, of the telescopic crossbeams (14, 14', 14", 14"'); the ends of all the longitudinal beams (15,15') being joined to the columns (2, 2', 3. 3') by means of a piece which wraps around each column consisting of vertical displacement elements along the length of the corresponding column. ∘ two fixed length, longitudinal beams (15, 15') spanning from column to column and from stem to prow; ∘ four telescopic crossbeams (14, 14', 14", 14"') spanning from the prow to stern, starboard longitudinal beam, to the prow to stern, port longitudinal beam, ∘ an equipment for laterally hooking the object or vessel to be rescued, located on each lateral end and on the underside, facing the sea, of the telescopic crossbeams (14, 14', 14", 14"');