A hydroforming press with open die and integrated deep-drawing comprising: - a modular structure, formed by a series of rings, vertically and equidistantly arranged, provided with notches (52, 53) wherein sheets are coupled which join them together from above and from below thus determining a fixed and unequivocal position, before welding them together, whose inner hollow space, inside which the die and the actuating cylinders are positioned, is delimited by both upper and lower beds, said structure only being open frontwards and rearwards; - an open die (2, 3), located on a horizontal plane in an operating position inside the press, the female portion of which has a central hollow space in alignment with the contour that is intended to be created in the sheet metal, upon the die of which a plurality of hydraulic cylinders operate, of which at least two of them are also able to operate as actuator cylinders, in charge of lowering the die onto the part to be shaped, while all of them come into operation, moving and pressing the female portion of said die against the sheet metal placed on the male portion of the die, before applying thereon the hydroforming hydraulic pressure, operating in the opposite direction; - a series of hydraulic cylinders, with a stroke determined by the height of the deformation to be carried out, in charge of moving and pressing the sheet metal against the male portion, or against the deep-drawing male located on the male portion of the die, applying against the sheet metal sufficient pressure for the prior hydroforming and/or deep-drawing of a peripheral area thereof; - a deep-drawing male, on which the sheet metal to be deformed can be arranged, on which, in use, the female portion of the open die falls and the pressure exerted against it by a series of peripheral hydraulic cylinders, which establish a fluid-tight seal on the periphery of the male portion of the die, which is provided with a plurality of outlets for water under high pressure that cause an upwards bulging on the sheet metal, whose outer profile is determined by the inner hollow space of the female portion of the die and whose height is determined by the hydroforming time and pressure, which is controlled by means of proportional valves that facilitate the sheet metal slippage through the central hollow space of the open die. - a modular structure, formed by a series of rings, vertically and equidistantly arranged, provided with notches (52, 53) wherein sheets are coupled which join them together from above and from below thus determining a fixed and unequivocal position, before welding them together, whose inner hollow space, inside which the die and the actuating cylinders are positioned, is delimited by both upper and lower beds, said structure only being open frontwards and rearwards; - an open die (2, 3), located on a horizontal plane in an operating position inside the press, the female portion of which has a central hollow space in alignment with the contour that is intended to be created in the sheet metal, upon the die of which a plurality of hydraulic cylinders operate, of which at least two of them are also able to operate as actuator cylinders, in charge of lowering the die onto the part to be shaped, while all of them come into operation, moving and pressing the female portion of said die against the sheet metal placed on the male portion of the die, before applying thereon the hydroforming hydraulic pressure, operating in the opposite direction; - a series of hydraulic cylinders, with a stroke determined by the height of the deformation to be carried out, in charge of moving and pressing the sheet metal against the male portion, or against the deep-drawing male located on the male portion of the die, applying against the sheet metal sufficient pressure for the prior hydroforming and/or deep-drawing of a peripheral area thereof; - a deep-drawing male, on which the sheet metal to be deformed can be arranged, on which, in use, the female portion of the open die falls and the pressure exerted against it by a series of peripheral hydraulic cylinders, which establish a fluid-tight seal on the periphery of the male portion of the die, which is provided with a plurality of outlets for water under high pressure that cause an upwards bulging on the sheet metal, whose outer profile is determined by the inner hollow space of the female portion of the die and whose height is determined by the hydroforming time and pressure, which is controlled by means of proportional valves that facilitate the sheet metal slippage through the central hollow space of the open die.