Abstract: Method of and apparatus for exchanging full bobbins for empty ones in textile machines, particularly open-end spinning machines with take-up and winding rollers for taking-off and winding yarn on a bobbin. An end of yarn severed between said take-up rollers and said winding rollers is introduced into the tube of an empty bobbin in three phases. In the first phase, a preparation step for gripping the yarn between the take-up rollers and the winding rollers takes place; in the second phase the delivery yarn is gripped and severed; and in the third phase the gripped yarn end is introduced into the interior of the bobbin tube at least over its entire length, and is simultaneously prevented from being untwisted at the tube edge.