A rotation moment transmission device (1) for a driving device of a furniture comprises a housing (2) comprising a first friction surface (3) having a circular cross-section, a rotation moment transmission member (4) having a rotation axis (DA) and a second friction surface (5), wherein the second friction surface (5) is movable radially with respect to the rotation axis (DA) and the first friction surface (3) and the second friction surface (5) are configured to collaborate for a rotation moment transmission, and a rotation moment introduction member (6) which is rotatable about the rotation axis (DA). One of the rotation moment transmission member (4) and the rotation moment introduction member (6) comprises an engagement member, the other one thereof comprises a contact surface (8, 8′, 8″, 8‴, 8⁗) and the engagement member (7) is configured to the contact the contact surface (8, 8′, 8″, 8‴, 8‴′) such that a twisting of the rotation moment introduction member (6) relatively to the rotation moment transmission element (4) moves the second friction surface (5) with respect to the rotation axis (DA) radially towards the first friction surface (3) or away therefrom.