A tool (1) for extracting expansion sleeves (2) of expansion anchor assembles includes an axially extending tubular shaft with a conical external thread (1b) at its leading end to be inserted into a borehole (9) in a structural member (3). The external thread tapers inwardly to the leading end. At its trailing end the shaft (1a) has a force applying member or members. The shaft (1a) has a central axially extending through hole (1d) for laterally enclosing an anchor bolt (4). After the expansion sleeve is relieved of expanding force by hammering the anchor bolt (4) into the borehole, the external thread (1b) on the extracting tool (1) is screwed into a gap between the anchor bolt (4) and the expansion sleeve (2). External thread (1b) cuts into the inner wall (2b) of the expansion sleeve (2) as the extracting tool is screwed in and, as a result, forms a positively locked connection with the expansion sleeve. The expansion sleeve (2) can be pulled out of the borehole (9) in the receiving material (3) by applying an axial force to the force application member (1c).