The method is used for automated tightening of a screwed joint (16), which is fitted to a component (10) in advance and contains a screw (12) and a nut (14), using a programmable industrial robot system (18). In this case, the invention provides that the industrial robot system (18) has a first robot (20) with a screw driving head (22) and a second robot (24) with a mating holding head (26). In order to tighten the screwed joint (16) on the component (10), the screw driving head (22) is positioned in a defined screw driving position, and the mating holding head (26) is positioned in a defined mating holding position in order to produce an interlocking connection, which is suitable for tightening of the screwed joint (16), between the mating holding head (26) and the nut (14), as well as between the screw driving head (22) and the screw (12). The screwed joint (16) on the component (10) is tightened with a predeterminable fixing torque. The interlocking connections are then disconnected.