Abstract: A distributing arrangement for a pressurized cooling fluid, especially air, for cooling a forming tool of a machine for forming thermoplastic material, especially molten glass, wherein the forming tool includes at least one split mold including mold segments which are respectively mounted on mold segment holders for movement therewith relative to one another and each of which is provided with a plurality of fluid channels for the flow of the pressurized of fluid channels for the flow of the pressurized cooling fluid therethrough, comprises a fluid distributing box including for each of the mold segments at least two branch channels individually communicating with at least one of the fluid channels when the distributing box is mounted on the mold segment holder.