Described are a device and a method for blow molding containers, whereby the device contains a plurality of blow-molding stations, each provided with at least one blow mold, whereby these blow-molding stations are arranged on a carrier, such as a blowing wheel. The blow-molding stations are supplied with an operating medium by means of a tempering device. To simplify the design and optimize the control, it is proposed to arrange the tempering device on the carrier such that the tempering device runs along with the carrier.