The invention relates to a high pressure casting method for producing articles of sanitaryware and to a machine implementing the method. The method of type "A" comprises the steps of forming the thickness of the sanitaryware article, emptying the excess slip out of the mould and consolidating the article, all these steps being performed at a constant pressure equal in value to the maximum pressure of the step in which the thickness of the article is formed. In the method of type "B", the steps of emptying out the excess slip and consolidating the sanitaryware article (14) are performed at a pressure equal to 75% of the maximum pressure of thickness formation. The casting machine comprises a discharge device for draining out the excess slip through a calibrated valve that enables the slip to be discharged without decreasing the pressure in the mould. Compared to prior art casting methods, the moulds and the sanitaryware articles are therefore subjected to less stress and strain and the time required to complete a casting cycle is significantly reduced.