A method suitable for anchoring an anchoring element in an object, which anchoring element is compressible in the direction of a compression axis under local enlargement of a distance between a peripheral anchoring element surface and the compression axis. The anchoring element has a coupling-in face which serves for coupling the mechanical vibrations into the anchoring element, which coupling-in face is not parallel to the compression axis. The anchoring element further includes a thermoplastic material which in areas of the peripheral surface enlargement forms at least a part of the surface of the anchoring element, the method includes the steps of: providing a bore in the object; positioning the anchoring element in the bore; and coupling the compressing force and the mechanical vibrations through the coupling-in face into the positioned anchoring element.