Abstract: Extended stators for pumps or motors with eccentric shafts are made by machining. These stators are provided in the direction of their long axis with a dual- or multi-thread inner bore profile having periodically repeated profile pitches of predetermined lead as interior stator work faces. The course of the following method steps are utilized: (a) partial segments of the inner bore profile are produced by means of machining on rod-like work pieces as exterior working surfaces; (b) the work pieces are then separated in the direction of their long axes into a predetermined number of partial work pieces in such a way that each partial work piece has a partial segment of the inner bore profile, and (c) these partial work pieces are subsequently assembled together in such a way that the partial segments are combined into a complete inner bore profile.