A connection for firmly securing an adapter for carrying a digging tooth to a lip of an excavating container. The connection has substantially aligned openings in the adapter and the lip. A pressure applying unit, such as a hydraulic actuator, is arranged inside the opening and generates a generally horizontally acting force which draws the adapter and the lip towards each other. A stress member is operatively coupled to the hydraulic actuator and resiliently deforms relative to its relaxed shape when it is subjected to the horizontally acting force. The wedge is shaped so that upon a reduction or cessation of the horizontally acting force the stress member, remains in the resiliently deformed state in which it draws the adapter and the lip towards each other and keeps them immovably secured to each other until the wedge can be withdrawn following a repressurization of the hydraulic actuator.