A distributing arrangement for cooling a forming tool constructed as a double mold 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 each other and each of which is provided with a plurality of fluid channels for the flow of the pressurized cooling fluid therethrough, comprising a fluid distributing box mounted on each of the mold segment holders for movement therewith, associated with both of the mold segments of the double mold carried by the same mold holder, and including for each of the mold segments at least two branch channels respectively individually communicating with at least one of the fluid channels of the respective mold segment, and a plurality of chambers separated from one another and arranged along mutually parallel planes upstream of and in communication with at least two of said branch channels each to constitute respective distributing channels for the associated ones of said branch channels, a first of said distributing channels communicating with two of said branch channels which, in turn, respectively communicate with the fluid channels in a central circumferential region of each of the mold segments and a second of said distributing channels communicating with further three of said said branch channels which, in turn, respectively communicate with groups of the fluid channels at the remaining circumferential regions of the mold segments;
- means for forming a dismountable screw-free interface between the fluid channels of the respective mold segment and said branch channels of said fluid distributing box;
- and means for supplying the pressurized cooling fluid into said fluid distributing box.