An apparatus for shaping plastics material preforms into plastics material containers includes a plurality of shaping stations each having two blow mould parts which are movable with respect to each other and which can be moved between a closed and an opened state. In the closed state the shaping station form a cavity, inside which the plastics material pre-forms are shaped. The shaping stations have a stressing device which acts upon the preforms with a gaseous medium to expand them, and stretch bars which are capable of being inserted into the preforms to stretch them in the longitudinal direction. The shaping stations each have at least one drive device which drives a movement necessary for the shaping procedure, as well as a control device for controlling this drive device. The control device is arranged on the apparatus through a damping device.