A crimping die device (15) for a crimping press which includes a first movable pressing die (20), which is preferably essentially vertically movable, a first drive device (22), and the first drive device (22) comprises a first drive (23) as well as a base structure (17). Furthermore, a wedge flange (30) is present, which is movable and is connected to the first drive (23) of the first drive device (22). The invention furthermore relates to a crimping press with a crimping die device as well as a method for making a crimp connection with a crimping die device in a crimping press.