An apparatus (1) for the heating of plastics material pre-forms (10) with a conveying device (2) which conveys the plastics material pre-forms (10) along a pre-set conveying path (T), with at least one heating element (4) which is arranged along the conveying path (P) of the plastics material pre-forms (10) and which heats the plastics material pre-forms (10), wherein in addition a cooling device is provided which cools the plastics material pre-forms (10) and/or at least one element of the apparatus (1) during the heating of the plastics material pre-forms (10) by acting upon them with a gaseous medium.