PURPOSE: To enable the continuous drawing of a long sized heat transfer tube by arranging a floating plug and grooved plug inside the tube and by providing the pressure rolling unit being driven by revolution with rotation outside the tube.

CONSTITUTION: The grooves plug E for an inner face grooving work is provided freely turnably via a connecting rod D on the rear side of the floating plug C being arranged inside the tube. A roll pressing unit F is provided outside the tube corresponding to the plug E, revolving centering around the tube shaft. A unit F is composed of plural pressure discs F1 and forms a continuous projec tion 5 with pressing the outer face of a tube A2, also rotates by the friction with the tube. With said mechanism the inner face grooved type tube with projection on outer face is produced efficiently in succession, also a long sized heat transfer tube can be produced.