An anchoring means for anchoring by a bonding mass in a drilled hole in a concrete part or the like has a threaded bolt with a reduced portion and an expansion cone followed by a head part, forming at the same time a stop shoulder. Over the reduced portion and expansion cone is slipped an anchoring sleeve which is provided on its outer surface with a plurality of longitudinal grooves. By the longitudinal grooves and the elasticity of the anchoring sleeve consisting of plastics material, the possibility is obtained of compensating for the enlargement of the drilled hole when a crack forms, thus making it possible for the anchoring means to be used in the zone subject to tensile forces.