In order to achieve reproducible operating parameters of the shaping process of an I.S. glassware forming machine, a central control of all blowing and cooling air flows is proposed, in which in accordance with sections a volume flow of the cooling air including the inlet-side and outlet-side temperatures thereof are measured by means of a measuring device (51, 52) and a heat loss which is associated with the section is ascertained. The heat thus removed in sections is compared with standard values, wherein in the event that tolerance zones are exceeded a variation of the volume flow is initiated by the actuation of restrictors (53, 54). All of the sections of the glassware forming machine which are intended for passage of cooling air are monitored in this way, namely on the basis of a determinable heat loss, so that uniform cooling conditions, which are adapted to a mathematical model, and in this respect a reproducible product quality are achieved.