A method for connecting a tubular cable lug produced from a non-ferrous metal to a strand produced from aluminum, includes steps of providing a tubular cable lug having a tubular portion and a connecting portion, providing an ultrasonic welding device having a sonotrode that has a pressure surface and having an anvil that has a mating pressure surface, securing the connecting portion to the anvil by clamping such that the tubular portion faces the mating pressure surface of the anvil, inserting one end of the strand into the tubular portion of the tubular cable lug, bringing the pressure surface into contact with the tubular portion, pressing the pressure surface against the tubular portion such that the tubular portion is forced against the mating pressure surface, and generating an ultrasound vibration oriented approximately perpendicular to a tube axis of the tubular portion by means of the sonotrode.