An orthodontic anchor device (10) for a surgical traction element is described. The anchor device includes a fixing device (12), which can be fixed in or to a bone in the mouth region, as well as a clamping device (18) coupled to the fixing device (12). The clamping device (18) has at least one locating region for the traction element as well as an oblique surface which can rotate relative to the locating region or which co-operates with a rotatable element. In order to produce a clamping force which fixes the traction element, a relative rotation takes place between the oblique surface and the rotatable element or between the oblique surface and the locating region.