The present invention relates to a slugging wrench for exerting slugging force on a fastening member such as a nut during tightening or loosening thereof, the slugging wrench comprising: an arm, an impact absorbing element arranged on the arm for absorbing the slugging force, a receiving member for receiving the fastening member, wherein the receiving member is provided with an inner surface fitting in force-transmitting manner on an outer surface of the fastening member and preferably having in a view, such as in the in-feed direction, a shape such as a polygon, such as a hexagon, such as a dodecagon, wherein the inner surface is provided with two grooves suitable for receiving a clamping member for the purpose of providing a clamping action in respect of the fastening member.