A double crimping tool for fastening an electrical conductor with insulation to a contact element, which includes a front crimping unit with a front drive cam plate and front crimping stamps for forming a front press section in the region of the stripped end of the conductor; and a rear crimping unit with a rear drive cam plate and rear crimping stamps for forming a rear press section in the region of the insulation of the conductor. The crimping stamps are displaced by rotation of the drive cam plates. By levers the two drive cam plates are connected to a shared force introduction element such that during the pressing procedure at first optionally the front or the rear drive cam plate is rotated by a predefined initial pressing angle while the other drive cam plate is made to rotate only after the first drive cam plate has attained the initial pressing angle.