A press for hydrostatic extrusion of tubes includes a high pressure cylinder axially displaceable in a press stand with a die insertable into the cylinder and a pressure generating punch insertable into the cylinder to generate the pressure for extrusion. A mandrel is carried by a rod which passes through the pressure generating punch. Seals are provided between the mandrel and the pressure generating punch and between the pressure generating punch and the pressure cylinder. These seals are so located that during the actual extrusion they are arranged in the same transverse plane.