PURPOSE: To manufacture a cold drawn steel pipe having smooth inner and outer surfaces by cold drawing a straight-seam electric welded pipe after removing the weld beads of its outer and inner surfaces by using a die having an approaching angle capable of minimizing the change of wall thickness.

CONSTITUTION: A steel strip 110 is formed into a tubular steel pipe 1111 by a forming mill 12 and the pipe 1111 is welded into a blank pipe 112. Next, the pipe 112 after cutting the beads of its inner and outer surfaces by a bite 14, is cooled through a coolant zone 15 and is drawn, after aligning its center by a push pointer 17, by a continuous drawing machine 18 while supplying a lubricant from a pump 16. The drawing machine 18 consists of two dies 191, 192 arranged in tandem and a drawing mechanism 21; the dies 191, 192, having each an approaching angle capable of making the changing quantity of wall thickness to be zero in accordance with a target reduction rate of outer diam., are used for this purpose. A cold drawn blank pipe 113 is straightened by a straightener 22, and is cut into a steel pipe 114 having a prescribed dimension by a flying press cutter 23.