The connection for an especially tubular component possessing at least one attachment-end with cavity in, which is screwed preferably to the attachment-end of another component, forming a butt joint between them, incorporates a third tubular component placed between the first two. An expandable sleeve's (1) back end is inserted into the cavity and has a surface (8) cooperating with the expander-surface (18) of an expander (17). The expandable part (1) has at least one lengthwise slit down it. A bolt (10) moves the expander (17) axially in the expandable part (1).
