Abstract: The apparatus comprises a double walled mould interior divided into two halves, a heat exchange exterior hollow envelope and a pressure-exchange compartment within the envelope surrounding the adjacent abutting surfaces of the rims of the two mould halves, heat-exchanges and pressure-exchanges producing means to rotate the apparatus on two axes, means to introduce a protective gas into the mould to avoid combustion of vapors and optional means cooperating between the heat-exchange and pressure-exchange means in the heating and cooling phases.The method includes controls of pressure and heat-exchange steps during the heating and cooling stages to avoid formation of bubbles, deformities and combustions, particularly when transparent plastic materials difficult to mould are used.