The utility model relates to a tube drawing machine used for processing metal composite tubes. The utility model comprises a machine frame, a draw rod sheathed with an outer tube and an inner tube, a positioning piece fixed on the machine frame and limiting the front end position of the outer tube and a power system connected with the draw rod through a connecting device, wherein the draw rod orderly comprises a front rod sheathed with the outer tube, a conical transitional expanding sleeve, a spindle sheathed with the inner tube and a movable retaining ring clamping the inner tube, wherein the diameter of the front rod is slightly smaller than the inner diameter of the outer tube; the diameter of the spindle is slightly smaller than the inner diameter of the inner tube; the diameter of the front end of the expanding sleeve is identical with that of the front rod, and the diameter of the back end is equal to or slightly larger than the outer diameter of the inner tube. The utility model has the advantages of simple structure and easy production; the utility model can effectively enhance the strength of the composite pipes, simplify the manufacturing technique, improve the production efficiency and reduce the production cost.