Abstract: Apparatus for continuous extrusion of tubular sections of thermoplastic material having a smooth inner surface and an annularly finned outer surface defined by alternating ribs and grooves. The apparatus comprises a die assembly made up of an outer die part and an inner die plunger. Two sets of chills define in combination a casting cavity having alternating grooves and ribs both having circular cross sections. The radius of the cross section of the grooves is smaller than that of the ribs, preferably the radius of the ribs ranges between 1.25-1.35 times greater than the radius of the grooves. For their displacement along closed loop paths the chills are provided with racks and their back sides are in meshing engagement with gears. A smoothing mandrel is provided in line with the die plunger and is cooled by a cooling fluid.