This method for producing a hollow-fiber membrane bundle is a production method for producing a cylindrical hollow-fiber membrane bundle by winding a hollow-fiber membrane 31 to be used in an artificial lung 10 and having a hollow section through which a fluid travels. Furthermore, the method for producing a hollow-fiber membrane bundle has a drawing step for drawing the hollow-fiber membrane 31, a winding step for winding the hollow-fiber membrane 31 drawn during the drawing step, and a tension adjustment step for adjusting tension when winding the hollow-fiber membrane 31.