Method for the joining of overlapped parts to be joined of materials with extremely high deformation strength at room temperature using a joining tool consisting of punch, blank holder and die by joining through self-piercing riveting with semi-hollow rivet or solid rivet, or clinch joining respectively, characterized in that a local and time limited heating of the parts to be joined (1a, 1b) takes place in the future forming zone, whereby the heating is performed via the blank holder (5) and the die (4) or elements arranged directly adjacent to said blank holder and die (10/11, 12/13) or directly preceding them (14, 15) and the heating is initiated at the beginning of the joining process or immediately before it and is completed before the beginning of the forming.